Vol. 20, No.1, April 2012, pp 3-31
Print: ISSN 1222-5657, Online: ISSN 2248-1893 http://www.uni-miskolc.hu/∼matsefi/Octogon/
3
Octogon Mathematical Magazine Celebrates 20 Years of Publication
D.M. B˘atinet¸u-Giurgiu and Neculai Stanciu1
Dedicated to the 20th Anniversary of the Octogon Mathematical Magazine
ABSTRACT.This paper is a tribute to the journal Octogon Mathematical Magazine who is celebrating its twentieth year of publication.
The first mathematical journal of the town Bra¸sov (Brass´o, Kronstadt) was founded by Mih´aly Bencze in the year 1978, named Gamma. Mih´aly Bencze was the editor-in-chief and the members of the editorial board were the following: Constantin Ionescu-T¸ iu, J´ozsef S´andor, Alexandru Lupa¸s, Florentin Smarandache, J´ozsef Benk˝o, Alexandru Blaga, Zolt´an Tuzson, Florin Popovici, Viorel Gh. Vod˘a, Ovidiu Pop, E. Grosswald (USA), Leroy F. Meyers (USA), Francisco Bellot (Spain). Mih´aly Bencze contributed to Gamma with 9000 Proposed Problems, 150 Open Question and 250 articles during 12 volumes between 1978-1989. In April 1989 the Gamma journal was suppressed by the Romanian Communist party for unclarified reasons, and till 1983 it had a latency period functioning as a prohibited journal.
In 1993, Mih´aly Bencze, laid down bases of the Octogon Mathematical Magazine written in English and became the legal successor of the former Gamma journal. During these years Octogon Mathematical Magazine is published two times a year in April and October.
Retrospective vs. Perspectives of the famous Octogon Mathematical Magazine, Remind vs. Remember the Past (see e.g. [1])
Vol.1, No. 1, April 1993:
1Received: 02.04.2012
2010Mathematics Subject Classification. 01A60, 01A61.
Key words and phrases. Biography, bibliography.
Editor: Mih´aly Bencze. Associate Editors: L´aszl´o Zsid´o (Italy), Florin Popovici (South Africa), Florentin Smarandache (USA), J´ozsef Benk˝o (Romania); Szil´ard Andr´as, Szabolcs Boros, Endre Fej´er, Szil´ard Fekete,
Szil´ard Fr¨ohlich (USA), Andr´as Gyerk´o, Lehel Kov´acs, Cornel Prahovean, L´aszl´o T´othp´al. Front cover: Jakab ´Abrah´am. DTP: Fulgur Ltd., Bra¸sov, Romania. Printed by NOVOTYP in Miercurea Ciuc. Copyright Fulgur Publishers.
Contents: 4 Articles; 19 Proposed Problems; 5 Open questions.
The Present in an age of progress Vol. 20, No. 1, April 2012:
Editor-In-Chief: Mih´aly Bencze.
Editorial Board: ˇSefket Arslanagi´c (University of Sarajevo, Sarajevo, Bosnia and Herzegovina), D.M. B˘atinet¸u-Giurgiu (Editorial Board of Gazeta Matematic˘a, Bucharest, Romania), Jos´e Luis D´ıaz-Barrero (Universitat Politechnica de Catalunya, Barcelona, Spain), Zhao Changjian (China Jiliang University, Hangzhou, China), Constantin Corduneanu (University of Texas at Arlington, Arlington, USA), Sever S. Dragomir (School of Computer Science and Mathematics, Victoria University, Melbourne, Australia), P´eter K¨ortesi (University of Miskolc, Miskolc, Hungary), Preda Mih˘ailescu
(Mathematisches Institut, Universitaet Goettingen, Germany), Gao Minghze (Normal College of Jishou University, Hunan Jishou, China), Josip Peˇcaric (University of Zagreb, Zagreb, Croat¸ia), Ovidiu T. Pop (National College Mihai Eminescu, Satu Mare, Romania), Themistocles M. Rassias (National Technical University of Athens, Athen, Greece), J´ozsef S´andor (Babe¸s-Bolyai University, Cluj-Napoca, Romania), Florentin Smarandache (University of New Mexico, New Mexico, USA), L´aszl´o Zsid´o (University of Rome, Tor Vergata, Roma, Italy), Shan-He Wu (Longyan University, Longyan, China).
DTP: J´ozsef Wildt Mathematical Association & Edit Ar´anyi. Front cover:
Lehel Kov´acs.
Contents: 29 Articles; 890 Proposed Problems (PP.); 111 Open Questions (OQ.)
The number of all articles in these 20 years is 2360.
The number of all proposed problems in these 20 years is 20145.
The number of all open questions in these 20 years is 4151.
Topics covered: general, inequalities, history and biography, mathematical logic and foundations, combinatorics, number theory, general algebraic systems, real functions, integrations, geometry, and others in all areas of pure and applied mathematics.
Aims and scope: Octogon Mathematical Magazine publishes high quality original research papers and survey articles, proposed problems and open questions.
The Octogon Mathematical Magazine promote mathematical culture in the world of the mathematical sciences and to facilitate the exchange of resources.
The publishing process in the Octogon Mathematical Magazine begins with the author’s idea for the work itself, continuing as a collaboration between the author and the editor as the work is created. As such, editing is a practice that includes creative skills, human relations, and a precise set of methods.
The title of the top editor at many publications may be known as the editor in chief, executive editor, or simply the editor. A frequent and esteemed contributor to a magazine may acquire a title of editor at-large or contributing editor.
The top editor sometimes has the title executive editor or editor-in-chief.
This person is generally responsible for the content of the publication. An exception is large newspapers, who usually have a separate editor for the editorials and opinion pages to separate news reporting and editorial content.
The editor-in-chief sets the publication standards for performance, and motivates and develops the staff.
The editor-in-chief is also responsible for developing and maintaining the publication budget. In concert with the publisher and the operating committee, the editor-in-chief is responsible for strategic and operational planning.
The editor-in-chief is effectively the head of this magazine and has considerable influence on its content. One of the great strengths of the present editorial team of Octogon is the ability of its members to cooperate on as a whole even if this team is a network of the fourteen universities, one National College and one from the editorial board of Gazeta Matematic˘a, Bucharest, Romania.
Mih´ aly Bencze
Hard work, that is his secret: work, work and hard work on his part with the blessing of having supporting parents and his family. But, this is not an isolated story - biographies of many great mathematicians testify how they were successful because of perseverance and hard work. There is, of course, another side to the coin: since the hard-work habit is a valuable one, but it is not enough Genius is five percent inspiration and ninety-five percent perspiration. He has both: inspiration and perspiration, so what you can deduce from here?
Excellence in research is to put in as much hard work as the project may require. Mih´aly Bencze received his Ph.D in mathematics from Craiova University in 2010. To work on problems in mathematics and achieve success needs determination and not to give up when hurdles arise. We all know how some students tend to relinquish mathematics when it gets difficult. Mih´aly Bencze is: the organizer of Rubiks contest (1980) , the president of
association Wildt J´ozsef, the scientific leader of Fulgur publisher of Bra¸sov (since 1993), the founder of the International Hungarian mathematical Competition, the founder of the Wildt J´ozsef International Mathematical Competition. Also he is editor-in-chief of 8 journals, editor to other 18
magazine and mentor for other 10 journals.
His creative work is amazing: has published over 800 articles, 12 books and over 14.000 proposed problems and open questions in almost all the journals with columns of Problems all over the world.
Mih´aly Bencze has received the following awards:
•Man of the year 2003 (American Biographical Institute, USA), 2003.08.22
•Exclusive Nomination for The Contemporary Hall of Fame (American Biographical Institute, USA), 2003.10.3
•American Medal of Honor (Governing Board of Editors of the American Biographical Institute, USA), 2003.10.17; Man of the year 2004 (American Biographical Institute, USA), 2004.07.01
•Nomination as International writer of the year 2004 (International Biographical Centre, Cambridge, England), 2004.08.13
•International Peace Prize (United Cultural Convention, USA), 2004.12.03;
•International Peace Prize (United Cultural Convention, USA), 2005.02.04;
•Man of Achievement Award (American Biographical Institute, USA), 2005.07.03;
•American Medal of Honor (Governing Board of Editors of the American Biographical Institute, USA), 2005.07.24;
•Nomination as International Professional of the year 2005 (International Biographical Centre, Cambridge, England), 2005.08.19;
•Man of the year 2005 (American Biographical Institute, USA), 2005;
•Top 100 Communications 2006 (International Centre, Cambridge, England), 2005.11.04;
•DiplomaA 110 years since the foundation of the Gazeta Matematic˘a awarded by the Board of the Society of Mathematical Sciences in Romania (S.S.M.R), in 2005
•Ez¨ustgyop´ar d´ıj (Rom´aniai Magyar Pedag´ogusok Sz¨ovets´ege, Teleki Oktat´asi K¨ozpont, Szov´ata, Rom´ania), 2005.10.15;
•The Global Year of Excellence 2006 (International Centre, Cambridge, England), 2006.07.09;
•2000 Outstanding Intellectuals of the 20’s Century (International Centre, Cambridge, England), 2006.10.06;
•Man of the year 2006 (American Biographical Institute, USA), 2006;
•The World Medal of Freedom (American Biographical Institute, USA), 2006.08.10;
•Gold Medal for Romania (American Biographical Institute, USA), 2006.12.15;
•Farkas Gyula-eml´ek´erem (Kolozsv´ar Cs´ıkszereda, Sapientia Egyetem, Rom´ania), 2006.11.25;
•Ap´aczaid´ıj (Rom´aniai Magyar Pedag´ogusok Sz¨ovets´ege, Teleki Oktat´asi K¨ozpont, Szov´ata Cs´ıkszereda, Rom´ania), 2006.12.12;
•Gheorghe Laz˘ar-diploma, I. fokozat, 2007;
•International Peace Prize 2007 (The United Cultural Convention of USA) ;
•Prize Beke Man´o (Bolyai J´anos Matematikai T´arsas´ag, Budapest, Ungaria), 2008.
•Prize Ap´aczai (Uniunea Democrat˘a a Pedagogilor Maghiari din Romˆania, Centrul Teleki, Sovata, Miercurea Ciuc), 2008.10.18;
•Prize Ap´aczai silver grade (Uniunea Democrat˘a a Pedagogilor Maghiari din Romˆania, Centrul Teleki, Sovata, 16 October 2010)
•Miniszteri Elismer˝o Oklev´el (Nemzeti Er˝oforr´as Miniszt´eriuma, Dr. R´aethy Mikl´os, Budapest, Ungaria, 12 March 2011.)
The fact that Mih´aly Bencze, is a model for many pupils, students, teachers and colleagues was proved in this paper and others to (e.g [6] and [7]). It has been a great pleasure for us to have developed on ongoing friendship with such a modest and such a refined and talented
mathematician.
Another important feature of his character is the fact that he does not upset anyone, not ever judge people, is always happy and respect all - and that means for him to be human.
Sefket Arslanagi´c ˇ
Sefket Arslanagi´ˇ c has born in 1942 in Trebinje (Bosnia and Herzegovina) where he was attended the primary school and secondary school
(gymnasium). Between 1963-1967 he was a student of the Faculty of sciences and mathematics of the University of Sarajevo. He received his masters degree in 1982 in University of Zagreb (Croatia). In the winter of 1999 he received his Ph.D. from the University of Sarajevo, with a dissertation The aspects of the work with mathematically gifted students (MGS).
He was a mathematics teacher in Gymnasium in Trebinje and a lecturer of mathematics in University of Mostar (Bosnia and Herzegovina). In the time of war in Bosnia and Herzegovina he was between 1993-1996 as the banished person in Berlin (Germany) where he was a participant and a lecturer in Seminar for mathematics and didactic of the Mathematical Institute of Humboldt University in Berlin.
Starting September 1996, he worked at the Faculty of sciences and mathematics in University of Sarajevo where he is now a professor of
elementary mathematics and the methods of mathematics. In recognition of his work with gifted students, he was named by the Mathematical
Association of Bosnia and Herzegovina for the president of the Section for the work with MGS.
He has published more than 600 (six hundred) mathematical problems in 15 scientific journals. He is Editor in Chief of the mathematical journal Triangle (Bosnia and Herzegovina) and also member of the editorial boards three scientific journals. He has published 35 books and more than 400 papers in journals all over the world.
Dumitru M. B˘ atinet¸u-Giurgiu
D.M. B˘atinet¸u at the General Meeting of The Romanian Mathematical Society (RMS) which was held in Bucharest on 17 March 2012, at Bucharest University
D.M. B˘atinet¸u was born on the 27-th of January, 1936, in the heart of the Valley of Burnazului Danubian in the commune Pietro¸sani, the district of Vla¸sca, Romania. He is a dedicated problem solver (in the years 1954, 1955 and 1956 he won the first prize for his activity of solving the most difficult problems published in the Gazeta Matematic˘a) and problem proposer (he published and proposed for publication over 3500 problems for various mathematics magazine, contests, Olympiads or mathematics camps; also he is one of the Romanian teachers who proposed problems for I.M.O., e.g. the
12-th I.M.O. held in Budapest in 1970), who left strong marks on the problemist community. His mathematical work covered a very wide range of topics including almost all possible areas of mathematics ( see for example updated list and the references from [2]), and now is devoted to inequalities.
Even after retiring he has found more time to work on mathematical problems. His proposed problems and proposed solutions are always
well-organized, not only that, but he submits proposals regularly, which are always well thought out and explained. There is no doubt that he is one of the best and prolific of Romanian problemist of the second half of the 20-th century. D.M. B˘atinet¸u is the third in the top contributors to Gazeta Matematic˘a, between two patterns of Gazeta Matematic˘a. During his many years teaching high-school mathematics he defined (introduced) quite a few concepts in mathematics, namely: “Lalescu sequences, Lalescu functions, Lalescu well-balanced functions, Eulers type sequences, Ioachimescu
sequences, Ioachimescu constant, Gherm˘anescu sequences, Wallis sequences, Benczes sequences and others (see e.g. the excellent monograph S¸iruri, published by the Albatros Publishing House, in Bucharest, in 1979). This book was a good starting point in the study of Matematics Analysis, for many young and distinguished mathematicians.
The most precious prizes to him are:
•Diploma of Excellence for the long mathematical valuable activity at Gazeta Matematic˘a and inside the S.S.M.R., awarded by S.S.M.R. in 2007.
•Diploma The Centenary of Society of Mathematical Sciences in Romania, awarded by S.S.M.R in 2010.
The fact that D.M. B˘atinet¸u-Giurgiu, is a pattern for many students and teachers was proved also in the paper [2]. It has been a great pleasure for us to have developed on ongoing friendship with such a sensitive human being and such a refined and talented mathematician.
Jos´e Luis D´ıaz-Barrero
Jos´e Luis D´ıaz was born in 1954 in La Sierra de Cazorla (Spain). He is a doctor in Mathematics receiving his degree from Polytechnical University of Catalonia, with a doctoral dissertation entitled Characterization of
Polynomials by Reflection Coefficients.
Currently, he is in charge of bringing talented students to Centro de Formacin Interdisciplinaria Superior (CFIS) at Polytechnical University of Catalonia (BARCELONA TECH) where he is a vice-dean. He is teaching Math courses at Polytechnical University of Catalonia since 1980. He is member of several mathematical societies such as American Mathematical Society, Fibonacci Association, Mathematical Association of America, Real Sociedad Matematica Espanola, Romanian Mathematical Society and Societat Catalana de Matematiques. He is also member of the Olympiad Committee of the Spanish Royal Mathematical Society and an active trainer of Spanish students that attend to International Mathematical Contest at High School and University levels every year.
He has published more than 130 papers in many scientific journals and about 600 problems and solutions in almost all the journals with columns of Problems all over the world. Currently, he is co-editor of the column
Problemas y Soluciones of the Gaceta de la Real Sociedad Matematica Espanola, co-editor in chief of Mathproblems, and the column Math
Competitions Corner of Octogon Mathematical Magazine.
He was awarded with a Top Cited Article 2005-2010 by Else-vier for his paper entitled An improvement to Ostrowski root-finding method published in Applied Mathematics and Computation Vol. 173, No. 1, (2006) 450456.
He likes too much to walk through the mountains and to cook Mediterranean cuisine recipes.
Zhao Changjian
Zhao Changjian has born in 1965 in Binzhou (China) where he was attended the primary school and secondary school. Between 1984-1986 he was a student of the Faculty of sciences and mathematics of the University of Binzhou. He received his masters degree in 1995 in the East China Normal University. In the spring of 2005 he received his Ph.D. from the University of Shanghai, with a doctoral dissertation Extremal Problems in Convex Bodies Geometry. He is a reward-gainers of the excellent PhD dissertations in
Shanghai.
Now, he is a mathematics professor. 1986-1998 lecturer in Binzhou teachers college. 1999-2004 associate professor in Binzhou University. 2005- professor of mathematics in China Jiliang university. 2006-2008 visiting scholar in department of mathematics of the university of Hong Kong. 2009- visiting professor in department of mathematics of the university of Hong Kong.
His projects: NSFC: National Natural Sciences Foundation of China (10791205). ZNSFC: Zhejiang Natural Sciences Foundation of China
(Y605065). FEDZPC: Foundation of the Education Department of Zhejiang Province of China (20050392). AMMYFSPC: The Academic Mainstay of Middle-age and Youth Foundation of Shandong Proving of China (200203).
He has published more than 150 papers in many scientific journals all over the world (such as Proc. Amer. Math. Soc; Geom. Dedicata; Appl. Math Letters, and Sci. China.). He is the members of the editorial boards two scientific journals (Theoretical Mathematics & Applications and Geometrical Methods in Science and Technology).
Constantin Corduneanu
Constatin Cordunenu has born on the 26-th of July, 1928, in Ia¸si, Romania. He is a famous researcher and teacher - one of the most known
Romanian mathematician of all the times. He graduated at Al. I. Cuza University of Ia¸si, Faculty of Mathematics, in 1951 and obtained his Ph.D in mathematics at the same university in 1956.
Constatin Corduneanu is an Emeritus Professor at the University of Texas at Arlington, U.S.A. His association with Al. I. Cuza University of Ia¸si lasted until 1977, a period in which he held position of assistant, lecturer, associate professor, professor, Dean of mathematics and Vice-Rector for research and graduate Studies, as well as some research positions with the Mathematical Institute of the Romanian Academy in Ia¸si. He is the founding Editor of Libertas Mathematica and for three years the newly created
institution which is known today as the University of Suceava, where he has served as a Rector over the period 1966-1967.
The researcher Professor C. Corduneanu, during his 60 years of activity, wrote over 200 articles and many books. His works have been mentioned in the bibliography of researchers over 5500 times. He is corresponding member of the Romanian Academy from 1974, and doctor honoris causa of the following universities: Ovidius of Constant¸a, Alexandru Ioan Cuza of Ia¸si, Transylvania of Bra¸sov, S¸tefan cel Mare of Suceava.
He had many other activities (see e.g. [4] and [5]), such as participating in various national or international conferences (more than 100), paying short visits and talking about his research work in over 60 universities or institutes on all the continents except Australia and in over 20 countries (including China, Japan, Russia, Ukraine, England, France, Italy, Germany, Hungary, Poland, Portugal and Chile).
Sever S. Dragomir
Sever Silvestru Dragomir is professor at the School of Engineering and Science, Victoria University, Melbourne City, Australia. He obtained his Ph.D in mathematics at the Faculty of Mathematics, West University of Timi¸soara, Romania.
Research Interests Pure Mathematics:
1. Classical Mathematical Analysis 2. Convex Functions
3. Best Approximation 4. Numerical Integration 5. Geometry of Banach Spaces 6. Operator Theory
7. Variational Methods 8. Volterra Integral Equations
9. Qualitative Theory of Differential Equations Applied Mathematics:
1. Information Theory and Coding 2. Risk Theory
3. Guessing Theory
4. Adaptive Quadrature Rules 5. Adaptive Cubature Rules
6. Numerical Methods for Differential Equations 7. Numerical Methods for PDEs
8. Game Theory
9. Kolmogorov Complexity
P´eter K¨ ortesi
Born in 1951 at Tg. Mure¸s, has graduted the Bolyai Farkas Secondary Grammar School, and got his diploma as mathematician at the Babe¸s-Bolyai University Cluj. He was teaching mathematics at the Vocational Secondary School No. 4. at Tg. Mures and delivered lectures at the Bolyai Farkas Secondary Grammar School as well. Since 1988, when he has moved with his family to Hungary he is teaching at the Institute of Mathematics of the University of Miskolc. His research interest is related to the study of
topological separation axioms in topological and algebraic structures, and to the didactics of Mathematics. He has organized numerous international conferences like the junior Mathematical Congress (1996, 2000, 2002, 2006, 2008, 2010, 2012), the Conference on the History of Mathematics and Teaching of Mathematics (2004, 2006, 2008, 2010, 2012) or the International GeoGebra Conference and Workshop (2011, 2012). He is the coordinator of the CEEPUS Network Active Methods in the Teaching and Learning of Mathematics and Informatics involving about 30 universities form 10 countries He is the president of the Junior Mathematical Society Miskolc,
and the leader of the GeoGebra Institute of Miskolc, He published the Mathematical journal Pi, the Dynamical GeoGebra Journal, and is a member of board of the Creative Mathematics.
He is doctor in mathematics and currently is the secretary of the Borsod Division of the J´anos Bolyai Mathematical Society, the co-chair of the Department of Analysis and the network coordinator of the CEEPUS Network H 127 (www.uni-miskolc.hu/ceepush127).
He was the local chair of the 10th SEFI European Seminar on Mathematics in Engineering
(http://www.uni-miskolc.hu/uni/dept/gepesz/matematika/sefi-seminar/) and he was the organizer of the 3rd Conference History of Mathematics and Teaching of Mathematics
(http://www.uni-miskolc.hu/uni/dept/gepesz/matematika/hmtm/).
Preda Mih˘ ailescu
He was born on May 23, 1955 and is a Romanian mathematician, best known for his proof of Catalans conjecture. After leaving Romania in 1973, he settled in Switzerland. Mih˘ailescu studied mathematics and informatics in Switzerland, receiving his Ph.D. from ETH Zurich in 1997. His thesis, Cyclotomy of rings and primality testing, was written under the direction of Erwin Engeler and Hendrik Lenstra.
For several years, Mih˘ailescu did research at the University of Paderborn,
Germany. Since 2005 he is a professor at the Georg-August University of G¨ottingen.
In the summer of 1999, I heard of Catalans conjecture and obtained the first partial results, which had some impact. Two years later, in the fall of 2001, I finished its proof. (Preda Mih˘ailescu)
In 2011 Preda Mih˘ailescu demonstrated other famous conjecture, i.e.
Leopoldts conjecture for CM fields.
And he will not stop here:
I work at a theory in mathematics that will catch very well; it will be useful and welcome. It is under examination and professionals take time to verify it. If things are as I see them, there will be a deep simplification that the mathematicians will definitely enjoy. (Preda Mih˘ailescu)
Gao Minghze
Gao Mingzhe has born in 1937 in Anxiang county of Hunan province (China) where he was attended the primary school and secondary school.
Between 1962-1967, he was a student of the Department of Mathematics of the Hunan University where he received graduate. He was a mathematics teacher in middle school between 1967-1978. Starting September 1979, he works at Section of Mathematics in Xiangxi Education College for
nationalities, where he was a lecturer between 1983-1986 and an associate professor between 1987-1998, where he won Zeng Xianzi Education Fund
Prize awarded by Ministry of Education in 1997. Since July 1999 he is a professor in Normal College of Jishou University. He was a reviewer of American Mathematical Reviews and membership of AMS. And he is named international mathematician by UNESCO at Asia-Pacific area in September 2005.
He established some new methods and new theory which the inequalities are studied by means of matrix theory and the weight function and analytic technique, so that he made many achievements in studying foundation mathematics, such as some applications and the generalizations, extensions and improvements of the famous Hilbert inequality, Hardy inequality, H¨older inequality, Fan Ky inequality and Heisenbergs inequality etc.
He has published more than 200 papers in many scientific journals all over the world (such as Proc. Amer. Math. Soc; ZAA (Germany); J. Math. Anal.
Appl.; StudiaScientiarumMathematicarum Hungarica; MIA (Croatia);
Integral Transforms And Special Functions, etc.).
Josip Peˇcari´c
Josip Peˇcari´c on the right with his wife Ankica Peˇcari´c
Josip Peˇcari´c (born September 03, 1948) is a Croatian Academician, mathematician and the professor of mathematics at the University of Zagreb, Croatia. He has written and co-authored over 800 articles on mathematics in mathematical journals, books, and conference proceedings. Josip Peari was born in Kotor (Boka Kotorska) on September 03, 1948 (In his documents it is written September 02, 1948) where he finished elementary and high school.
Then he started studying at the University of Belgrade’s Faculty of Electrical Engineering and he completed his masters degree in electrical engineering under the supervision of mathematics Professor Dobrilo Toˇsi´c.
After that he decided to dedicate himself to pure mathematics.
In 1976, when Gradimir Milovanovi´c finished his doctoral degree, Professor Dobrilo Toˇsi´ac gave him the copy of Milovanovi´c thesis and together with Gradimir Milovanovi´ac he wrote his first two articles in 1976. Professor Dragoslav Mitrinovi´c then invite him to work on his doctoral thesis. He finished the work on his thesis by 1979 but he succeed to get degree only in 1982 because of series of attacks on his work.
He is one of the leading world experts in the theory of inequality, so in world reference journals (in USA and Germany) he is called a great name in the theory of inequality. He is the Editor-in-Chief and founder of the
international journal Mathematical Inequalities and Applications, and the Editorial Board consists of about 60 of the most well-known world scientist dealing with the subject. He is a referee for about 60 international journals and several publishing houses. In addition to his scientific work, academician Peari is known for his journalistic activities. He is the author or co-author of 250 newspaper articles, and 22 books dealing with journalistic or historical topics.
Ovidiu T. Pop
Ovidiu T. Pop, born on 4 March 1957 in Zal˘au, S˘alaj.
He is a teacher of mathematics at ”Mihai Eminescu” National College in Satu Mare, Romania.
Ovidiu T. Pop received his Ph.D. in mathematics in 2006. He is the author of more than 100 problems published in Gazeta Matematic˘a - Seria B and of other problems and papers which appeared in Gazeta Matematic˘a - Seria A, Revista de Matematic˘a din Timi¸soara, Recreat¸ii Matematice, Creat¸ii Matematice, etc.
He has also published 125 papers, out of which 60 are research papers.
His research fields include the theory of linear positive operators.
In addition, he is co-author of 4 books and of more than 40 other mathematical books.
He has also written a monography of ”Mihai Eminescu” National College in Satu Mare and has published some essays.
Themistocles M. Rassias
Themistocles M. Rassias (born on April 2, 1951, in Pellana, Peloponnese, Greece) is a Greek mathematician, and a professor at the National Technical University of Athens (E ), Greece. He has published more than 220 papers, 6 research books and 30 edited volumes in research Mathematics as well as 4 textbooks in Mathematics (in Greek) for university students. His research work has received a large number of citations by several mathematicians. He serves as a member of the Editorial Board of several mathematical journals.
He received his Ph.D. in Mathematics from the University of California at Berkeley in June 1976. Professor Stephen Smale and Professor Shiing-Shen Chern have been his thesis and academic advisors, respectively.
His work extends over several fields of Mathematical Analysis. It includes Global Analysis, Analysis on Manifolds, Calculus of Variations, Nonlinear Functional Analysis, Approximation Theory, Functional Equations, Inequalities, Metric Geometry and their Applications.
He has contributed a number of results in the stability of minimal submanifolds, in the solution of Ulam’s Problem for approximate
homomorphisms in Banach spaces, in the theory of isometric mappings in metric spaces and in Complex analysis (Poincar’s inequality and harmonic
mappings).
Some of his research work has been established with the scientific
terminology: (i) HyersUlamRassias stability of functional equations. (ii) The AleksandrovRassias problem for isometric mappings.
J´ ozsef S´ andor
He was born in 1956, Farc´ad (Fort¸eni), near Sz´ekelyudvarhely (
Odorheiu-Secuiesc), Jud. Harghita, Romania. Elementary schools at Farcd and Bikafalva (Tureni); Middle school: Szkelyudvarhely. In 1980 graduated at Babe¸s- Bolyai University of Kolozsv´ar (Cluj). He worked at Nagyszeben (Sibiu) between 1980-1983, at Sz´ekelyudvarhely between 1983-1996. From 1997 he works at Babe¸s-Bolyai University; from 1999 as an Associate Professor of Department of Mathematics.
His main research fields are : Mathematical analysis (convexity,
generalizations and its applications in optimization theory; special functions, inequalities and applications; means and their applications); Number theory (elementary, asymptotic and algebraic study of arithmetic functions; number theoretical inequalities and applications; prime number theory and
connections; diophantine approximations, irrationality and transcendance;
Diophantine equations); Geometry ( classical geometric theorems and
geometric inequalities; geometric inequalities and their applications); History of mathematics (Bolyai research; history of Transylvanian mathematics, XXth century history of mathematics).
He published 15 books of mathematics, the well known being Handbook of Number theory I, II at Kluwer Acad.Publ. (1996) and Springer Verlag (2005, 2006)[ I. written in cooperation with D.S. Mitrinovic and B. Crstici; II. In cooperation with B. Crstici]; as well as Geometric theorems, diophantine equations and arithmetic functions (USA, 2002), with more editions. In 1988 he published a book in Hungarian: Geometric inequalities (Ed.Dacia), which evoked a large interest and has been cited by international journals and books. He has published along the years many scientific papers in prestigious journals from Romania, Hungary, Bulgaria, Croatia, Serbia, Montenegro, Bosnia, Kosovo, Polonia, Slovakia, Czech Republic, Germany, Switzerland, France, Netherlands, England, Portugal, Iran, India, China, Korea, Taiwan, Australia, Canada, Australia, USA. He also published methodical-scientific papers , mostly in journals from Romania , Hungary, England and USA.
Though he published many papers, he prefers quality in place of quantity, and originality of ideas.
Florentin Smarandache
Dr. Florentin Smarandache is a polymath: as author, co-author,
translator, co-translator, editor, or co-editor of 160 books and 200 scientific papers and notes.
Actually he is a Renaissance man since he published in many fields, such
as: mathematics (number theory, statistics, non-Euclidean geometry), computer science (artificial intelligence, information fusion), physics (quantum physics, particle physics), economics (cultural economics, poly-emporium theory), philosophy (neutrosophy a generalization of dialectics, neutrosophic logic a generalization of intuitionistic fuzzy logic), social sciences (political essays), literature (poetry, prose, essays, novel, dramas, children plays, translations), arts (avant-garde/experimental drawings, collages, paintings).
He works as a Professor of Mathematics at the University of New Mexico, Gallup Campus, USA. On 22 September 2011, CERN researchers have partially proved Smarandache Hypothesis that there is no speed barrier in the universe, since the muon neutrino traveled faster than light.
Received the 2011 New Mexico Book Award for algebraic structures together with Dr. W. B. Vasantha Kandasamy.
Received in 2011 the Doctor Honoris Causa diploma (Adjunct Professor) from Beijing Jiaotong University and from Academia DacoRomana from Bucharest.
Received the 2010 Telesio-Galilei Gold Medal for Science at the University of P´ecs, Hungary. He is also a member of Romanian-American Academy of Science.
L´ aszl´ o Zsid´ o
Curriculum:
Place and date of birth: Bra¸sov/Romania, February 22, 1946.
He participated for Romania at 5-th IMO held in Wroclaw, Poland in 1963, where obtained the Gold medal.
Master Degree at the University of Bucharest/Romania in 1968.
Other degrees: PhD at the University of Bucharest/Romania in 1973.
1968-1979: Research Fellow at several research instituts in Bucharest/Romania.
1979-1980: Research Fellow at the University of Muenster/Germany.
1980-1990: Professor at the University of Stuttgart/Germany.
From 1990: Full Professor of Mathematical Analysis at the University of Rome ”Tor Vergata”.
Scientific activity:
Research in the field of Functional Analysis, mainly in Operator Algebras and Spectral Theory of Linear Operators;
Other research fields: Harmonic Analysis, Generalized Functions, Ergodic Theory.
Scientific publications: more than 70 papers and 2 monographs.
Shan-He Wu
Position: Professor; Director of department of information and computation science.
Address: Department of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, People’s Republic of China.
Email address: wushanhe@yahoo.com.cn Editorial Responsibilities:
1. Octogon Mathematical Magazine
2. International Journal of Computational and Applied Mathematics 3. International Journal of Information Science and Computer Mathematics 4. Mathematical Reviews
5. Fujian Middle School Mathematics Professional Societies:
1. A member of the American Mathematical Society, USA
2. A member of the Research Group in Mathematical Inequalities and Applications, Australia
3. A director of Chinese Society of Inequalities and Applications, P. R. China Academic Interests:
1. Classical Mathematical Analysis 2. Theory of Mathematical Inequalities 3. Theory of Mathematical Mean Values
4. Theory of Convex Functions 5. Theory of Special Functions 6. Mathematics Education
Refereeing Services: for 16 other scientific journals of mathematics.
During these twenty years, apart from those mentioned above have contributed to The Octogon Mathematical Magazine the following mathematicians namely: Petru¸s Alexandrescu, Titu Andreescu, Dorin Andrica, Krassimir T. Atanasov, Ovidiu Bagdasar, J. Gibergans-B´aguena, Horia Banea, C˘at˘alin Barbu, Dorel B˘ait¸an, Dan B˘arbosu, Maria
B˘atinet¸u-Giurgiu, Paraschiva Bˆırsan, Gheorghe Boroica, Szabolcs Boros, Vlad Ciobotariu-Boer, Nicolae I. Bratu, Ion Bursuc, Constantin Bue, Chao-Ping Chen, Nu-Chun, Eugen Constantinescu, Adrian Corduneanu, Viorel Cornea, Gheorghe Costovici, Thomas Csinta, P´al P´eter D´alyay, Gyula Darvasi, K´aroly D´an´e, Marian Dinc˘a, Marius Dr˘agan, Gheorghe Eckstein, Edit Egri, Paul Erd˝os, B´ela Finta, Louis Funar, Sorin G. Gal, Romant¸a Ghit¸˘a, Ioan Ghit¸˘a, Radu Gologan, Mehdi Hassani, Traian Ianculescu, Radu R˘azvan Ignat, Romeo Ilie, Attila Imre, W. B. G´abor Iv´anka, Wei-Dong Jiang, Walther Janous, Andrei Jorza, ˇZeljko Juri´c, Ferenc Kacs´o, Paulo Kemp, Vasantha Kandasamy, Murray S. Klamkin, Omran Kouba, B´ela Kov´acs, J´ozsef Kr´amli, Valmir Krasniqi, P´al Aur´el Kup´an, Alexandru Lupa¸s, Luciana Lupa¸s, Maohua Le, Yin Li, Jian Liu, Florian Luca, I. V. Maftei, Dan S¸tefan Marinescu, J. Rubi´o-Masseg´u, Dorin M˘arghidanu Dragoljub M.
Miloˇsevi´c, George Miliakos, Nicu¸sor Minculete, Laurent¸iu Modan, Cristinel Mortici, Hossein Moshtagh, Ovidiu Munteanu, Nicolaie Mu¸suroia, T˘anase Negoi, Memudu O. Olatinwo, Marius Olteanu, Moubinool Omarjee, Zhang Qian, Laurent¸iu Panaitopol, Eugen P˘alt˘anea, Ion P˘atra¸scu, Lokot V.V.
Phenchiva, Mihai Piticari, Alin Pop, Maria S. Pop, Rodica D. Pop, Emil C.
Popa, Dan Popescu, Florin Popovici, Cornel Prahovean, Gabriel T.
Pr˘ajitur˘a, Eduard Puschin, Sorin R˘adulescu, R˘azvan Satnoianu, Ilka S´andor, Augustin Semenescu, Yilun Shang, Li Sheng, Neculai Stanciu, K´alm´an Szab´o, R´obert Sz´asz, Gy¨orgy Sz¨oll˝osy, Harun ˇSiljak, Sabin T˘abˆarc˘a, Tatiana T˘abˆarc˘a, Marian Tetiva, Gheorghe Toader, L´aszl´o T´oth, J´anos T´oth, Tiberiu Trif, Mircea Trifu, Lucian Tut¸escu, Zolt´an Tuzson, Marcel T¸ ena, Ioan T¸ incu, Kr´amer Alp´ar-Vajk, Georg Weiss, Yu Wenxin, Yu-Dong Wu, Yu-Lin Wu, Yan-Qin Xu, Yu Wu-Yang, Yi Zhuxin and many others to which we have a great recognition.
Everybody spends a fair amount of time on some scholarly activity. In
most cases, it involves research that is intended to be published in one or more refereed journals. These mathematicians presented above are also expert writers have written books and articles that describne fascinating mathematical topics in an interesting manner.
The Octogon Mathematical Magazine has thousand-pages of research papers which often becomes the next hundred-pages articles and notes in a popular journals, and this keeps the volume of mathematics manageable, what can be accessible to the students, graduate students or their theachers of a future academic generation.
One might think that such magazine are of interest only the researchers and problem buffs, but this is not quite so. These articles, notes, proposed problems and open questions created by mathematicians, often with considerable qualifications and experience, are used and adapted to become accessible to a wide range of students and to foster some interesting
investigations to highlight ideas, approaches and results, even if they cannot be directly imported into general classroom situations, they can often be reworded. Even if the research cannot take into account all variables and cannot answer definitively all of the questions we might ask about
mathematics, we can expect research in mathematics to be helpful in many ways. The research it can: answer questions, inform us, educate us, promit new questions, create reflection and discussion, clarify situations, help make educational decisions, challenge what we currently do as educators, etc.
Above all, despite educational research provides information that the community of educators can use. Also we can use the research to shift from the Yesterday mind to the Tomorrow mind (see e.g. [3]).
Finally: The Octogon Mathematical Magazine is an inclusive professional community of researchers and teachers who promote research in
mathematics. The Octogon Mathematical Magazine focuses on promoting research-based innovations related to preparation and continued professional enhancement in mathematics. Target audiences include teachers, researchers, higher education, faculty members, the secondary, undergraduate and
graduate levels .
We are sure we speak on behalf of all lovers of mathematics when we say:
May all of you live long, and continue to write books, to submit articles, proposed problems and open questions to enjoy us.
REFERENCES
[1] The Octogon Mathematical Magazine is Ten Years Old or maybe 25?, Octogon Mathematical Magazine, Vol. 10, No. 1, April 2002, pp. 7-8;
[2] Bencze Mih´aly and Neculai Stanciu, Dumitru B˘atinet¸u-Giurgiu, Octogon Mathematical Magazine, Vol. 19, No. 1, April 2011, pp. 125-148;
[3] Dr. Terry Bergeson, Rosemary Fitton, Pete Bylsma, Beverly Neitzel and Mary Ann Stine, Teaching and Learning Mathematics using Research to Shift from the Yesterday Mind to the Tomorrow Mind, www.k12.wa.us;
[4] Vasile Berinde,Interview with Professor Constatin Corduneanu, EMS Newsletter, December 2011, pp. 38-42;
[5] Laurent¸iu Modan,Professor Constantin Corduneanu, a life dedicated to mathematics, Octogon Mathematical Magazine, Vol. 16, No.2, October 2008, pp. 1060-1078;
[6] Neculai Stanciu,Mih´aly Bencze - un matematician prolific - Revista online MateInfo.Ro, mai, 2011
[7] Themistocles M. Rassias, Mih´aly Bencze the Mathematician Is 50 Years Old, Octogon Mathematical Magazine, Vol. 13, No.1, April 2005, pp. 16-67;
*** Wikipedia, the free encyclopedia.
Department of Mathematics Matei Basarab National College Bucharest, Romania
E-mail: dmb g@yahoo.com Department of Mathematics,
George Emil Palade Secondary School, Buz˘au, Romania
E-mail: stanciuneculai@yahoo.com
Vol. 20, No.1, April 2012, pp 32-33
Print: ISSN 1222-5657, Online: ISSN 2248-1893 http://www.uni-miskolc.hu/∼matsefi/Octogon/
32
The Last Ten Years of Octogon Mathematical Magazine
Jos´e Luis D´ıaz–Barrero2
Dedicated to the 20th Anniversary of the Octogon Mathematical Magazine
No doubt that among the journals publishing columns of problems the one with largest number of proposals and an entire section devoted to pose open questions is Octogon Mathematical Magazine being its Editor in Chief, the prolific mathematician Mih´aly Bencze, the main contributor to both sections. Also a lot of papers and notes are published and since the year 2005 a section with solutions is included. From now on, a new section entitled Math Competitions Cornerwill present interesting mathematical problems proposed previously in High School Mathematical Contests and University Competitions or used by trainers and contestants to prepare Math Competitions around the world.
Many topics of pure and applied mathematics are the usual subjects of the papers and notes published in the last decade, but inequalities is with
difference which most frequently appeared. The journal is a good reference to study or revisit inequalities from and elementary, but not trivial point of view. A lot of new inequalities, generalizations and refinements of the
classical ones mainly discrete algebraic inequalities were published in the last ten years.
In this period of time no without difficulties the Editor in Chief and his team of collaborators managed to publish yearly the two issues of the journal continuously. About one thousand and half of papers and short notes, fifteen thousand problems and three thousand open questions appeared.
Furthermore, the proposals and solutions of J´ozsef Wildt International Mathematical Competition (editions XIII to XXI) and book reviews were also published. I encourage them to continue and I want to express my sincere gratitude for their task and hard work in the last decade.
2Received: 27.03.2012
2010Mathematics Subject Classification. 01A60, 01A61.
Key words and phrases. Biography, bibliography.
To continue publishing Octogon the Editor in Chief will be assisted by the following international board of editors: ˘Sefket Arslanagi´c (Bosnia and Herzegovina), D. M. B˘at¸inetu – Giurgiu (Romania), J. L. D´ıaz-Barrero (Spain), Zhao Changjian (China), Constantin Corduneanu (USA), Sever S.
Dragomir (Australia), P´eter K¨ortesi (Hungary), Preda Mih˘ailescu
(Germany), Gao Minghze (China), Josip Pecari´c (Croatia), T. M. Rassias (Greece), Ovidiu T. Pop (Romania), J´ozsef S´andor (Romania), Florentin Smarandache (USA), L´aszl´o Zsid´o (Italy) and Sanhe Wu (China). I am sure that they will help to keep and to improve the quality of the journal with their contributions and accurate comments and suggestions.
Applied Mathematics III
Technical University of Catalonia (BARCELONA TECH) Jordi Girona 1-3, C2, 08034 Barcelona. Spain
E-mail: jose.luis.diaz@upc.edu
Vol. 20, No.1, April 2012, pp 34
Print: ISSN 1222-5657, Online: ISSN 2248-1893 http://www.uni-miskolc.hu/∼matsefi/Octogon/
34
Happy Birthday Octogon!
Constantin Corduneanu3
Dedicated to the 20th Anniversary of the Octogon Mathematical Magazine
When Profesor Mih´aly Bencze called my attention to the upcoming 20-th Anniversary of the Matheamtical Magazine OTOGON, I had the idea to visit the library of our department, where I have displayed several copies of the publication, sent to me regularly since April, 1993. I have found all volumes (two issues each, April and October) on the shelves. Thenmany volumes came online, and several times I have shared them with my colleagues. Starting volume 3, I had the honor to be added to the group of Associate Editors, and for a few years I had the privilege to see also the name of the famous and omnipresent Hungarian mathematician Paul Erd˝os (whom I’ve met several times, for the first time in Bucharest, at the Fourth Congress of Romanian Mathematicians, in 1956). It is really amazing to see how the energy and the dedication of the founder and promoter of the OCTOGON, Professor Mih´aly Bencze, from S˘acele-Bra¸sov, have produced and supported for two decades (so far) this publication. Indeed, most new journals start with some support from an authoritative institution or group of interestedand establishedscholars. But Professor Bencze, from his College, almost by himself, took upon himself the task to publish the OCTOGON, and he succeeded in short time to get an international readership, as well as a large number of authors from most everywhere in the World, who
submitted their articles to the publication. I take this opportunity to
address, in the name of people loving the Mathematics, and cultivating them in various forms, the Special Congratulations to Professor Mih´aly Bencze, for his outstanding achievement with this beautiful and useful O C T O G O N !
Needless to say that I had a great satisfaction seeing in this publication many names of former students, distinguished colleagues from most of the Romanian Universities, as well as an impressive number of contributors from around the World, whom I’ve met in various occasions.
3Received: 02.03.2012
2010Mathematics Subject Classification. 01A60, 01A61.
Key words and phrases. Biography, bibliography.
Vol. 20, No.1, April 2012, pp 35
Print: ISSN 1222-5657, Online: ISSN 2248-1893 http://www.uni-miskolc.hu/∼matsefi/Octogon/
35
After ... 20 years
Ovidiu T. Pop 4
Dedicated to the 20th Anniversary of the Octogon Mathematical Magazine
Professor Mih´aly Bencze, PHD., was, is, and will always be a fighter. He was not defeated by the human wickedness or envy, or by the material hardships of the existence, and he survived the tribute that he should have paid to life.
Few from this world have the courage to publish, by themselves a mathematical journal. A valuable journal! And why? Because the responsibility and the effort to make it is huge!
Mih´aly had the courage, and he did it.
Once upon a time
20 years ago, in Brasov, Romania, the first number of the Octogon Mathematical Magazine appeared . First, it contained 16 pages, 4 articles, 19 proposed problems and 5 open questions.
After that, from one number to another, the journal started to increase the scientific level and value of the published articles.
Nowadays, the journal includes in the Editorial Board mathematicians known worldwide and it has collaborators all over the world. These attributes make the journal known at global level.
At this anniversary hour, I wish the Octogon Mathematical Magazine and everyone who is beside it a sincerely Happy Anniversary!
National College “Mihai Eminescu“
Satu Mare, Romania
4Received: 04.01.2012
2010Mathematics Subject Classification. 01A60, 01A61.
Key words and phrases. Biography, bibliography..
