Edit Profile (opens in new tab) Gilányi, Attila Compute Distance To: Compute Author ID: gilanyi.attila Published as: Gilányi, Attila; Gilanyi, Attila; Gilańyi, Attila; Gilanyi, A.; Gilányi, A. more...less Homepage: https://www.inf.unideb.hu/en/node/1088 External Links: MGP · Google Scholar Documents Indexed: 29 Publications since 1995, including 1 Book 4 Contributions as Editor Reviewing Activity: 15 Reviews Co-Authors: 21 Co-Authors with 19 Joint Publications 591 Co-Co-Authors all top 5 Co-Authors 13 single-authored 10 Páles, Zsolt 5 Nikodem, Kazimierz 2 Aczél, János Dezső 2 Bandle, Catherine 2 Losonczi, László 2 Merentes, Nelson J. 2 Plum, Michael 2 Troczka-Pawelec, Katarzyna 1 Adamek, Mirosław 1 Borus, Gergő Gyula 1 Fošner, Ajda 1 Ger, Roman 1 Kaiser, Zoltán 1 Kézi, Csaba Gábor 1 Kuczma, Marek 1 Lewicka, Agata 1 Maksa, Gyula 1 Marley, Anthony A. J. 1 Moslehian, Mohammad Sal 1 Nagatou, Kaori 1 Ng, Che Tat 1 Volkmann, Peter all top 5 Serials 6 Aequationes Mathematicae 3 Journal of Mathematical Analysis and Applications 3 Publicationes Mathematicae Debrecen 3 Mathematical Inequalities & Applications 2 Proceedings of the National Academy of Sciences of the United States of America 2 ISNM. International Series of Numerical Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Real Analysis Exchange 1 Mathematical Social Sciences 1 Mathematica Pannonica 1 Grazer Mathematische Berichte 1 Opuscula Mathematica 1 Banach Journal of Mathematical Analysis 1 Set-Valued and Variational Analysis 1 Annals of Functional Analysis all top 5 Fields 29 Difference and functional equations (39-XX) 15 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 187 times in 133 Documents Cited by ▼ Year ▼ An introduction to the theory of functional equations and inequalities. Cauchy’s equation and Jensen’s inequality. Edited by Attila Gilányi. 2nd ed. Zbl 1221.39041Kuczma, Marek 200 2009 An inequality, equivalent to the parallelogram equation. (Eine zur Parallelogrammgleichung äquivalente Ungleichung.) Zbl 0992.39026Gilányi, Attila 59 2001 On a problem by K. Nikodem. Zbl 1036.39020Gilányi, Attila 31 2002 On convex functions of higher order. Zbl 1141.26304Gilańyi, Attila; Páles, Zsolt 13 2008 On the stability of monomial functional equations. Zbl 0991.39016Gilányi, Attila 10 2000 Estimates to the stability of functional equations. Zbl 1121.39029Gilányi, Attila; Kaiser, Zoltán; Páles, Zsolt 10 2007 Hyers-Ulam stability of monomial functional equations on a general domain. Zbl 0963.39030Gilányi, Attila 6 1999 On Dinghas-type derivatives and convex functions of higher order. Zbl 1049.26003Gilányi, Attila; Páles, Zsolt 5 2002 Solving linear functional equations with computer. Zbl 0930.65138Gilányi, Attila 4 1998 Characterization of monomial functions and solution of functional equations using computers. (Charakterisierung von monomialen Funktionen und Lösung von Funktionalgleichungen mit Computern.) Zbl 0885.39009Gilányi, Attila 4 1995 A characterization of monomial functions. Zbl 0895.39006Gilányi, Attila 4 1997 On two different concepts of subquadraticity. Zbl 1253.26016Gilányi, Attila; Kézi, Csaba Gábor; Troczka-Pawelec, Katarzyna 4 2012 Stability of a functional equation coming from the characterization of the absolute value of additive functions. Zbl 1219.39014Gilanyi, A.; Nagatou, K.; Volkmann, P. 4 2010 Hyers-Ulam stability of monomial functional equations on a general domain. Zbl 0961.39012Gilányi, Attila 4 1999 Regularity of weakly subquadratic functions. Zbl 1230.26010Gilányi, Attila; Troczka-Pawelec, Katarzyna 4 2011 Characterizations and decomposition of strongly Wright-convex functions of higher order. Zbl 1333.26011Gilányi, Attila; Merentes, Nelson; Nikodem, Kazimierz; Páles, Zsolt 3 2015 Consistent aggregation of simply scalable families of choice probabilities. Zbl 1006.91030Aczél, János; Gilányi, Attila; Maksa, Gyula; Marley, Anthony A. J. 3 2000 On locally monomial functions. Zbl 0891.39019Gilányi, Attila 3 1997 Computer assisted solution of systems of two variable linear functional equations. Zbl 1444.39024Borus, Gergő Gyula; Gilányi, Attila 3 2020 A regularity theorem for composite functional equations. Zbl 0992.39021Gilányi, Attila; Páles, Zsolt 2 2001 On Hyers-Ulam stability of monomial functional equations. Zbl 0954.39020Gilányi, A. 2 1998 Bernstein-Doetsch type results for quasiconvex functions. Zbl 1065.26015Gilányi, Attila; Nikodem, Kazimierz; Páles, Zsolt 2 2004 Bernstein-Doetsch type theorems with Tabor type error terms for set-valued maps. Zbl 1366.26019Gilányi, Attila; González, Carlos; Nikodem, Kazimierz; Páles, Zsolt 2 2017 On linear functional equations and completeness of normed spaces. Zbl 1282.46021Fosner, Ajda; Ger, Roman; Gilanyi, Attila; Moslehian, Mohammad Sal 2 2013 On a functional equation arising from comparison of utility representations. Zbl 1067.39038Gilányi, Attila; Ng, Che Tat; Aczél, János 1 2005 A note on three-parameter families and generalized convex functions. Zbl 1126.26012Adamek, Mirosław; Gilányi, Attila; Nikodem, Kazimierz; Páles, Zsolt 1 2007 Inequalities and applications. Proceedings of the conference on inequalities and applications, Noszvaj, Hungary, September 9–15, 2007. Zbl 1148.26004 1 2009 Computer assisted solution of systems of two variable linear functional equations. Zbl 1444.39024Borus, Gergő Gyula; Gilányi, Attila 3 2020 Bernstein-Doetsch type theorems with Tabor type error terms for set-valued maps. Zbl 1366.26019Gilányi, Attila; González, Carlos; Nikodem, Kazimierz; Páles, Zsolt 2 2017 Characterizations and decomposition of strongly Wright-convex functions of higher order. Zbl 1333.26011Gilányi, Attila; Merentes, Nelson; Nikodem, Kazimierz; Páles, Zsolt 3 2015 On linear functional equations and completeness of normed spaces. Zbl 1282.46021Fosner, Ajda; Ger, Roman; Gilanyi, Attila; Moslehian, Mohammad Sal 2 2013 On two different concepts of subquadraticity. Zbl 1253.26016Gilányi, Attila; Kézi, Csaba Gábor; Troczka-Pawelec, Katarzyna 4 2012 Regularity of weakly subquadratic functions. Zbl 1230.26010Gilányi, Attila; Troczka-Pawelec, Katarzyna 4 2011 Stability of a functional equation coming from the characterization of the absolute value of additive functions. Zbl 1219.39014Gilanyi, A.; Nagatou, K.; Volkmann, P. 4 2010 An introduction to the theory of functional equations and inequalities. Cauchy’s equation and Jensen’s inequality. Edited by Attila Gilányi. 2nd ed. Zbl 1221.39041Kuczma, Marek 200 2009 Inequalities and applications. Proceedings of the conference on inequalities and applications, Noszvaj, Hungary, September 9–15, 2007. Zbl 1148.26004 1 2009 On convex functions of higher order. Zbl 1141.26304Gilańyi, Attila; Páles, Zsolt 13 2008 Estimates to the stability of functional equations. Zbl 1121.39029Gilányi, Attila; Kaiser, Zoltán; Páles, Zsolt 10 2007 A note on three-parameter families and generalized convex functions. Zbl 1126.26012Adamek, Mirosław; Gilányi, Attila; Nikodem, Kazimierz; Páles, Zsolt 1 2007 On a functional equation arising from comparison of utility representations. Zbl 1067.39038Gilányi, Attila; Ng, Che Tat; Aczél, János 1 2005 Bernstein-Doetsch type results for quasiconvex functions. Zbl 1065.26015Gilányi, Attila; Nikodem, Kazimierz; Páles, Zsolt 2 2004 On a problem by K. Nikodem. Zbl 1036.39020Gilányi, Attila 31 2002 On Dinghas-type derivatives and convex functions of higher order. Zbl 1049.26003Gilányi, Attila; Páles, Zsolt 5 2002 An inequality, equivalent to the parallelogram equation. (Eine zur Parallelogrammgleichung äquivalente Ungleichung.) Zbl 0992.39026Gilányi, Attila 59 2001 A regularity theorem for composite functional equations. Zbl 0992.39021Gilányi, Attila; Páles, Zsolt 2 2001 On the stability of monomial functional equations. Zbl 0991.39016Gilányi, Attila 10 2000 Consistent aggregation of simply scalable families of choice probabilities. Zbl 1006.91030Aczél, János; Gilányi, Attila; Maksa, Gyula; Marley, Anthony A. J. 3 2000 Hyers-Ulam stability of monomial functional equations on a general domain. Zbl 0963.39030Gilányi, Attila 6 1999 Hyers-Ulam stability of monomial functional equations on a general domain. Zbl 0961.39012Gilányi, Attila 4 1999 Solving linear functional equations with computer. Zbl 0930.65138Gilányi, Attila 4 1998 On Hyers-Ulam stability of monomial functional equations. Zbl 0954.39020Gilányi, A. 2 1998 A characterization of monomial functions. Zbl 0895.39006Gilányi, Attila 4 1997 On locally monomial functions. Zbl 0891.39019Gilányi, Attila 3 1997 Characterization of monomial functions and solution of functional equations using computers. (Charakterisierung von monomialen Funktionen und Lösung von Funktionalgleichungen mit Computern.) Zbl 0885.39009Gilányi, Attila 4 1995 all cited Publications top 5 cited Publications all top 5 Cited by 146 Authors 44 Park, Choonkil 16 Lee, Jung-Rye 12 Brzdęk, Janusz 10 Páles, Zsolt 10 Rassias, Themistocles Michael 8 Shin, Dong-Yun 5 Eshaghi Gordji, Madjid 5 Kim, Hark-Mahn 5 Rajba, Teresa 4 Gilányi, Attila 4 Popa, Dorian 4 Xu, Bing 3 An, Jong Su 3 Badora, Roman 3 Cho, Young-Sun 3 Fechner, Włodzimierz 3 Najati, Abbas 3 Nikodem, Kazimierz 3 Przebieracz, Barbara 3 Saadati, Reza 2 Abramovich, Shoshana 2 Almahalebi, Muaadh 2 Burai, Pál 2 Choi, Chang-Kwon 2 Cui, Jianlian 2 Dăianu, Dan M. 2 Hwang, Inho 2 Jin, Yuanfeng 2 Kiss, Tibor 2 Lee, Yang-Hi 2 Lewicka, Agata 2 Lu, Gang 2 Marley, Anthony A. J. 2 Moradlou, Fridoun 2 Okeke, Chisom Prince 2 Rassias, John Michael 2 Rassias, Michael Th. 2 Sablik, Maciej 2 Son, Eunyoung 2 Szostok, Tomasz 2 Tareeghee, M. A. 2 Volkmann, Peter 2 Wang, Zhihua 2 Wąsowicz, Szymon 1 Abdollahpour, Mohammad Reza 1 Aczél, János Dezső 1 An, Ly Van 1 Bahyrycz, Anna 1 Bashir, Imran 1 Batool, Afshan 1 Bavand Savadkouhi, Meysam 1 Bidkham, Mahmood 1 Bodaghi, Abasalt 1 Borus, Gergő Gyula 1 Budzik, Dorota 1 Cădariu, Liviu I. 1 Chang, Ick-Soon 1 Chu, Yuming 1 Chudziak, Jacek 1 Ciepliński, Krzysztof 1 Ebadian, Ali 1 El Ghali, Rachid 1 Elqorachi, Elhoucien 1 Eungrasamee, Tippaporn 1 Fošner, Ajda 1 Găvruţă, Paşc 1 Ger, Roman 1 Ghobadipour, Norouz 1 Goswami, Angshuman R. 1 Habib, Siddra 1 Han, Mi-Hyen 1 Házy, Attila 1 Idir, Sadani 1 Jabłońska, Eliza 1 Jang, Sunyoung 1 Jeon, Seongbin 1 Jo, Seong Yoon 1 Ju, Ha Nuel 1 Juhász, Tibor 1 Jun, Kil-Woung 1 Jung, Soon-Mo 1 Kabbaj, Samir 1 Kabeto, Masho Jima 1 Kaiser, Zoltán 1 Kamyar, Mahdie 1 Kang, Sheon-Young 1 Khodaei, Hamid 1 Kim, Hong Nyeong 1 Kim, Myeongsu 1 Kim, Myeonhu 1 Kim, Taehun 1 Kim, Yeonjun 1 Lara, Teodoro 1 Lee, Bogeun 1 Lee, Jung 1 Lee, Juri 1 Lee, Sanha 1 Leśniak, Zbigniew 1 Li, Xiaopei 1 Louviere, Jordan J. ...and 46 more Authors all top 5 Cited in 43 Serials 18 Journal of Inequalities and Applications 16 Aequationes Mathematicae 12 Journal of Mathematical Analysis and Applications 9 Abstract and Applied Analysis 7 Results in Mathematics 5 Acta Mathematica Hungarica 5 Journal of Fixed Point Theory and Applications 5 Journal of Mathematical Inequalities 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Function Spaces 3 AIMS Mathematics 2 Journal of Mathematical Psychology 2 Annales Mathematicae Silesianae 2 Advances in Difference Equations 2 Banach Journal of Mathematical Analysis 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Periodica Mathematica Hungarica 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 Dissertationes Mathematicae 1 Glasgow Mathematical Journal 1 Mathematische Nachrichten 1 Mathematical Social Sciences 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Tatra Mountains Mathematical Publications 1 Filomat 1 Journal of Convex Analysis 1 Journal of Difference Equations and Applications 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Fixed Point Theory and Applications 1 Tbilisi Mathematical Journal 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Applied Analysis and Computation 1 Mathematics 1 Korean Journal of Mathematics all top 5 Cited in 22 Fields 114 Difference and functional equations (39-XX) 31 Functional analysis (46-XX) 27 Real functions (26-XX) 25 Operator theory (47-XX) 6 General topology (54-XX) 5 Nonassociative rings and algebras (17-XX) 4 Field theory and polynomials (12-XX) 4 Numerical analysis (65-XX) 3 Abstract harmonic analysis (43-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Citations by Year