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Projekt adatai

 
azonosító
111651
típus K
Vezető kutató Páles Zsolt
magyar cím Függvényegyenletek és egyenlőtlenségek
Angol cím Functional equations and inequalities
magyar kulcsszavak függvényegyenlet, stabilitás-elmélet, regularitás-elmélet, egyenlőtlenség, konvexitás,közép
angol kulcsszavak functional equation, stability theory, regularity theory, inequality, convexity, mean
megadott besorolás
Matematika (Élettelen Természettudományok Kollégiuma)100 %
Ortelius tudományág: Matematikai analízis
zsűri Műszaki és Természettudományi zsűrielnökök
Kutatóhely TTK Analízis Tanszék (Debreceni Egyetem)
résztvevők Bessenyei Mihály
Boros Zoltán
Burai Pál József
Daróczy Zoltán
Gát György
Gilányi Attila
Gselmann Eszter
Házy Attila
Járai Antal
Kertész Dávid Csaba
Kertész Dávid Csaba
Lajkó Károly
Losonczi László
Lovas Rezső László
Makó Judit
Maksa Gyula
Mészáros Fruzsina
Száz Árpád
Székelyhidi László
Szilasi József
projekt kezdete 2015-01-01
projekt vége 2019-06-30
aktuális összeg (MFt) 64.636
FTE (kutatóév egyenérték) 60.69
állapot aktív projekt





 

Zárójelentés

 
kutatási eredmények (magyarul)
A kutatás fő vizsgálatai függvényegyenletek és függvényegyenlőtlenségek általános elméleti kérdéseire, illetve ezek különféle matematikai, információelméleti, valószínűségszámítási, közgazdasági alkalmazásaira irányultak. Ezen belül foglalkoztunk függvényegyenletek megoldásai módszereivel, függvényegyenletekkel kapcsolatos jellemzési tételekkel függvényegyenletek regularitás-elméletével, függvényegyenletekre és függvényegyenlőtlenségekre vonatkozó stabilitási problémákkal, középértékekre vonatkozó összehasonlítási, egyenlőségi és homogenitási problémákkal és invariancia egyenletekkel, a konvexitás magasabb rendű és különféle általánosításaival, a konvexitási tulajdonságok stabilitásával, a spektrálszintézis és spektrálanalízis csoporton és hipercsoportokon való teljesülésének szükséges és elegendő feltételeinek teljesülésével, az alapvető függvényegyenletek hipercsoportokon való megoldásával, valamint Finsler-geometriával, Walsh–Fourier analízissel, valamint relátorterekkel és rendezett struktúrákkal is. A kutatócsoport 20 tagja kutatómunkája eredményeként 147 folyóirat publikáció, továbbá egy monográfia, egy könyv, valamint 1 PhD és 2 habilitációs értekezés született. Az eredmények disszeminálása és a nemzetközi együttműködések intenzívebbé tétele érdekében a kutatócsoport 8 nemzetközi konferenciát is szervezett.
kutatási eredmények (angolul)
The main directions of our research were to investigate general problems of the theory of functional equations and functional inequalities, and to apply these results to various questions of other branches of mathematics, information theory, probability theory, and economics. More specifically, we dealt with solution methods for functional, with characterization problems via functional equations, with regularity theory of functional equations, with stability problems of functional equations and inequalities, with comparison, equality, and homogeneity problems and invariance equation in various classes of means, with higher-order and other types of generalizations of convexity, with stability of convexity properties, with spectral synthesis and spectral analysis on groups and hypergroups, with solution of the basic functional equations on hypergroups, with fixed point theorems, with Finsler geometry, with Walsh–Fourier analysis and with relator spaces and ordered spaces. The results of the 20 members of the research team were published in total in 149 publications: in 1 monograph, in 1 textbook, in 1 PhD and 2 habilitation dissertations, in 147 referred journal articles. In order to disseminate or results and intensify our international cooperations, 8 international conferences were also organized.
a zárójelentés teljes szövege https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=111651
döntés eredménye
igen





 

Közleményjegyzék

 
Páles, Zs.; Pasteczka, P.: On the homohenization of means, Acta Math. Hungar., to appear, 2019
Székelyhidi, L.: Spectral synthesis on the affie group of SU(n), Acta Math. Hungar., to appear, 2019
Burai, P.: An extension theorem for conditionally additive functions and its application for the equality problem of quasi-arithmetic expressions, Result. Math., to appear, 2019
Székelyhidi, L.; Tabatabaie, S. M.; Sadathoseyni, B. H.: Convolution operators on measure algebras of KPC-hypergroups, Adv. Pure Appl. Math. 10(1):1–6, 2019
Székelyhidi, L.: Functional equations on affine groups, In Advanced topics in mathematical analysis, pages 71–94. CRC Press, Boca Raton, FL, 2019
Kiss, T.; Páles, Zs.: Reducible means and reducible inequalities, Aequationes Math., 91(3) 505-525, 2017
Kiss, T.; Páles, Zs.: On a functional equation related to two-variable weighted quasi-arithmetic means, J. Difference Equ. Appl., 24(1) 107-126, 2018
Makó, J.: A new proof of the approximate convexity of the Takagi function, Acta Math. Hungar., 151(2) 456-461, 2017
Makó, J.; Házy, A.: On approximate Hermite-Hadamard type inequalities, J. Convex Anal., 24(2) 349-363, 2017
Páles, Zs.; Zakaria, A.: On the local and global comparison of generalized Bajraktarević means, J. Math. Anal. Appl., 455(1) 792-815, 2017
Székelyhidi, L.: Functional equations and stability problems on hypergroups, Brzdęk J., Ciepliński K., Rassias T. (eds) Developments in Functional Equations and Related Topics. Springer Optimization and Its Applications, vol 124. Springer, Cham, 2017
Székelyhidi, L.: Invariant means on double coset spaces, Period. Math. Hungar., 75(1) 58-65, 2017
Székelyhidi, L.: Spherical spectral synthesis, Acta Math. Hungar., 153(1) 120-142, 2017
Székelyhidi, L.: Superstability of functional equations related to spherical functions, Open Math. 15(1), 427-432, 2017
Székelyhidi, L.; Vajday, L.: Spectral synthesis on commutative hypergroups, Ann. Univ. Sci. Budapest. Sect. Comput. 45 111-117, 2016
Székelyhidi, L.; Vati, K.: Functional equations on hypergroup joins, Arch. Math. (Basel) 109(1) 41-47, 2017
Székelyhidi, L.; Wilkens, B.: Spectral synthesis and residually finite-dimensional algebras, J. Algebra Appl., 16(10), 2017
Székelyhidi, L. and Tabatabaie, S. M.: Spectral Analysis, Spectral Synthesis and Their Applications, University of Qom, Islamic Republic of Iran, 2017
Makó, J.; Házy, A.: On approximate Hermite-Hadamard type inequalities, J. Convex Anal., 24(2) 349-363, 2017
Abu Joudeh, A.; Gát, Gy.: Almost everywhere convergence of Cesàro means with varying parameters of Walsh–Fourier series, Miskolc Math. Notes 19(1), 303–317, 2018
Barczy, M.; Lovas, R. L.: Karhunen–Loeve e expansion for a generalization of Wiener bridge, Lith. Math. J. 58(4) 341–359, 2018
Bessenyei, M.: The affine separation problem revisited, Indag. Math. (N.S.) 29(3), 873–877, 2018
Bessenyei, M.: Axiomatic and algebraic convexity of regular pairs, J. Geom. 109(1), Art. no. 24, 7 pp., 2018
Bessenyei, M.; Pénzes, E.: Higher-order quasimonotonicity and integral inequalities, Math. Inequal. Appl. 21(3), 897–909, 2018
Bessenyei, M.; Pénzes, E.: Separation problems in the context of h-convexity, J. Convex Anal. 25(3), 1033–1043, 2018
Bessenyei, M.; Szabó, G.: A functional equation view of an addition rule, Math. Mag., 91(1), 37–41, 2018
Boros, Z.; Garda-Mátyás, E.: Conditional equations for quadratic functions, Acta Math. Hungar. 154(2), 389–401, 2018
Boros, Z.; Száz, Á.: A weak Schwarz inequality for semi-inner products on groupoids, Rostock Math. Kolloq. 71, 28–40, 2016
Burai, P.; Jarczyk, J.: On symmetry of Makó–Páles means., Ann. Univ. Sci. Budapest. Sect. Comput. 47, 173–177, 2018
Fechner, Z.; Székelyhidi, L.: Moment functions on affine groups, Results Math., 74(1), 2019
Grünwald, R.; Páles, Zs.: On derivations with respect to finite sets of smooth functions, Acta Math. Hungar. 154(2), 530–544, 2018
Gselmann, E.: Characterizations of derivations (habilitációs értekezés), Debreceni Egyetem, 2017
Gselmann, E.: Laudation to Professor Gyula Maksa on his seventieth birthday, Ann. Univ. Sci. Budapest. Sect. Comput. 47, 75–78, 2018
Gselmann, E.; Kiss, G.; Vincze, Cs.: On functional equations characterizing derivations: methods and examples, Results Math., 73(2), Art. no. 74, 27 pp., 2018
Gát, Gy.: Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh–Fourier series, J. Fourier Anal. Appl., 24(5), 1249–1275, 2018
Gát, Gy.: Cesáro means of subsequences of partial sums of trigonometric Fourier series, Constr. Approx. 49(1), 59–101, 2019
Gát, Gy.; Goginava, U.: Almost everywhere convergence of subsequence of quadratic partial sums of two-dimensional Walsh–Fourier series, Anal. Math., 44(1), 73–88, 2018
Gát, Gy.; Goginava, U.: Norm convergence of logarithmic means on unbounded Vilenkin groups, Banach J. Math. Anal. 12(2), 422–438, 2018
Gát, Gy.; Goginava, U.: Subsequences of triangular partial sums of double Fourier series on unbounded Vilenkin groups, FILOMAT, 32(11), 3769–3778, 2018
Gát, Gy.; Goginava, U.: Norm convergence of double Fejér means on unbounded Vilenkin groups, Anal. Math., 2019
Kertész, D. Cs.; Lovas, L. R.: A generalization and short proof of a theorem of Hano on affine vector fields, SUT J. Math., 53(2), 83–87, 2017
Maksa, Gy.: On the alienation of the logarithmic and exponential Cauchy equations, Aequationes Math. 92(3), 543–547, 2018
Mészáros, F.: Further results on a multiplicative type functional equation, Ann. Univ. Sci. Budapest. Sect. Comput. 48, 95–104, 2018
Olbrys, A.; Páles, Zs.: Support theorems in abstract settings, Publ. Math. Debrecen, 93(1-2), 215–240, 2018
Pasteczka, P.; Száz, Á.: Integral part problems derived from a solution of an infimum problem, Teaching Math. Comput. Sci. 16, 43–53, 2018
Páles, Zs.: On a characterization of starlike functions, Ann. Univ. Sci. Budapest. Sect. Comput. 48, 129–136, 2018
Páles, Zs.; Pasteczka, P.: On Kedlaya-type inequalities for weighted means, J. Inequal. Appl., Art. no. 99, 22pp., 2018
Páles, Zs.; Pasteczka, P.: On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means, Math. Inequal. Appl. 21(2), 585–599, 2018
Páles, Zs.; Pasteczka, P.: On Hardy-type inequalities for weighted means, Banach J. Math. Anal. 13(1), 217–233, 2019
Páles, Zs.; Székelyné Radácsi, É.: A new characterization of convexity with respect to Chebyshev systems, J. Math. Inequal. 12(3), 605–617, 2018
Száz, Á.: A natural Galois connection between generalized norms and metrics, Acta Univ. Sapientiae Math. 9(2), 360–373, 2017
Száz, Á.: Generalizations of a restricted stability theorem of Losonczi on Cauchy differences to generalized cocycles, Sci. Ser. A Math. Sci. (N.S.) 28, 29–42, 2018
Száz, Á.: Relationships between inclusions for relations and inequalities for corelations, Math. Pannon. 26, 15–31, 2018
Száz, Á.: The closure-interior Galois connection and its applications to relational equations and inclusions, J. Int. Math. Virt. Inst. 8, 181–224, 2018
Száz, Á.: Corelations are more powerful tools than relations, Applications of nonlinear analysis, volume 134 of Springer Optim. Appl., page 711–779. Springer, Cham,, 2018
Száz, Á.: Generalizations of an asymptotic stability theorem of Bahyrycz, Páles and Piszczek on Cauchy differences to generalized cocycles, Stud. Univ. Babes-Bolyai Math. 63(1), 109–124, 2018
Száz, Á.: A unifying framework for studying continuity, increasingness, and Galois connections, MathLab Journal 1(1), 154–173, 2018
Székelyhidi, L.: On spectral synthesis in several variables, Adv. Oper. Theory 2(2), 179-191, 2017
Székelyhidi, L.: Continuation of the laudation to Professor Zoltán Daróczy on his eightieth birthday, Ann. Univ. Sci. Budapest. Sect. Comput. 47, 9–18, 2018
Székelyhidi, L.: Spherical monomials on affine groups, Ann. Univ. Sci. Budapest. Sect. Comput. 48, 209–223, 2018
Szilasi, J.: Lajos Tamássy - touches on a portrait, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis (New Series) 31 (1), 1-3, 2015
Daróczy, Z.: An interview with János Aczél, Aequationes Mathematicae 89 (1), 1-16, 2015
Boros, Z.; Nagy N.: Approximate convexity with respect to a subfield, Acta Math. Hungar., 152 (2) 464-472, 2017
Abardia-Evéquoz, J.; Böröczky, K. J.; Domokos, M.; Kertész, D. Cs.: SL(m, C)-equivariant and translation covariant continuous tensor valuations, J. Funct. Anal., 276(11):3325–3362, 2019
Bessenyei, M.: Generalized monotonicity in terms of differential inequalities, Proc. Roy. Soc. Edinburgh Sect. A, to appear, 2019
Bessenyei, M.; Pénzes, E.: Fractals for minimalists, Aequationes Math., to appear, 2019
Boros, Z.; Száz, Á.: Infimum problems derived from the proofs of some generalized Schwarz inequalities., Teach. Math. Comput. Sci., 17:41–57, 2019
Gát, Gy.; Goginava, U.: Convergence of a subsequence of triangular partial sums of double Walsh–Fourier series, Contemp. Math. Anal. (Armenian Acad. Sci.), to appear, 2019
Gát, Gy.; Goginava, U.: Maximal operators of Cesaro means with varying parameters of Walsh–Fourier series, Acta Math. Hungar., to appear, 2019
Gát, Gy.; Lucskai, G.: Estimation of the Walsh–Fejér and Walsh-logarithmic kernels, Publ. Math. Debrecen, to appear, 2019
Gát, Gy.; Lucskai, G.: On the negativity of Walsh–Kaczmarz–Riesz logaritmic kernels, Acta Math. Acad. Paedagog. Nyházi, (N.S.), to appear, 2019
Gselmann, E.: Characterizations of derivations, Dissertationes Math., to appear, 2019
Gselmann, E.; Kiss, G.; Vincze, Cs.: Characterization of field homomorphisms through pexiderized functional equations, J. Difference Equ. Appl., 35 pp., to appear, 2019
Losonczi, L.: Extensions of Vieira’s theorems on the zeros of self-inversive polynomials., Ann. Univ. Sci. Budapest. Sect. Comput., 49, to appear, 2019
Losonczi, L.: On the zeros of reciprocal polynomials, Publ. Math. Debrecen, 94(3-4):455–466, 2019
Száz, Á.: Birelator spaces are natural generalizations of not only bitopological spaces, but also ideal topological spaces, In Th. M. Rassias and P. M. Pardalos, editors, Mathematical Analysis and Applications, to appear, 2019
Száz, Á.: Contra continuity properties of relations in relator spaces, Lambert Publishing House, to appear, 2019
Száz, Á.: Semi-inner products and parapreseminorms on groups and a generalization of a theorem of Maksa and Volkmann on additive functions, Demonstratio Math., Topical Issue on Ulam Stability, to appear, 2019
Páles, Zs.; Zakaria, A.: On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means, Aequationes Math. 93 (1), 37–57, 2019
Lovas, R.: Many faces of Mathematical Analysis (habilitációs értekezés), Debreceni Egyetem, 2018
Kertész, D. Cs.: Rigidity properties and transformations of Finsler manifolds (PhD értekezés), Debreceni Egyetem, 2017
Almira, J. M.; Székelyhidi, L.: Montel-type theorems for exponential polynomials, Demonstratio Mathematica 49(2), 197-212, 2016
Bessenyei, M.; Konkoly, Á.; Popovics, B.: Convexity with respect to Beckenbach families, J. Convex Anal. 24 (1), 75-92, 2017
Bessenyei, M.; Konkoly, Á.; Szabó, G.: Linear functional equations involving finite substitutions, Acta Sci. Math (Szeged) 83(1-2), 71-81, 2017
Bessenyei, M.; Páles, Zs.;: A contraction principle in semimetric spaces, J. Nonlinear Convex Anal., 18(3) 515-524, 2017
Bessenyei, M.; Popovics, B.: Convex structures induced by Chebyshev systems, Indag Math (N.S.), 28(6) 1126-1133, 2017
Boros Z.; Nagy N.: Approximate convexity with respect to a subfield, Acta Math. Hungar., 152 (2) 464-472, 2017
Boros, Z.; Száz, Á.: Generalized Schwarz inequalities for generalized semi-inner products on groupoids can be derived from an equality, Novi Sad J. Math., 47 (1), 177-188, 2017
Fechner, Ż.; Székelyhidi, L.: Functional equations on double coset hypergroups, Ann. Funct. Anal., 8(3) 411-423, 2017
Fechner, Ż.; Székelyhidi, L.: Sine and cosine equations on hypergroups, Banach J. Math. Anal., 11(4) 808-824, 2017
Gilányi, A.; González, C.; Nikodem, K.; Páles, Zs.: Bernstein-Doetsch type theorems with Tabor type error terms for set-valued maps, Set-Valued Var. Anal., 25(2) 441-462, 2017
Gát, Gy.; Goginava, U.: Norm convergence of double Fourier series on unbounded Vilenkin groups, Acta Math. Hungar., 152(1), 201-216, 2017
Kiss, T.; Páles, Zs.: Implications between generalized convexity properties of real functions, Journal of Mathematical Analysis and Applications 434 (2), 1852–1874, 2016
Székelyhidi, L.; Wilkens, B.: Spectral analysis and synthesis on varieties, Journal of Mathematical Analysis and Applications 433 (2), 1329-1332, 2016
Matkowski, J.; Páles, Zs.: Characterization of generalized quasi-arithmetic means, Acta Sci. Math. (Szeged) 81 (3-4), 447–456, 2015
Székelyhidi, L.: Stability of functional equations on hypergroups, Aequationes Mathematicae 89 (6), 1475-1483, 2015
Lovas, R. L.; Mező, I.: Some observations on the Furstenberg topological space, Elemente der Mathematik 70 (3), 103-116, 2015
Székelyhidi, L.: A functional equation for exponential polynomials, Aequationes Mathematicae 89 (3), 821-828, 2015
Gselmann, E.: Jordan triple mappings on positive definite matrices, Aequationes Mathematicae 89 (3), 629-639, 2015
Gselmann, E.: Additive functions and their actions on certain elementary functions, Mathematical Inequalities & Applications 18 (3), 1037-1045, 2015
Almira, J. M.; Székelyhidi, L.: Local polynomials and the Montel theorem, Aequationes Mathematicae 89 (2), 329-338, 2015
Szilasi, J.: Lajos Tamássy - touches on a portrait, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis (New Series) 31 (1), 1-3, 2015
Maksa, Gy.; Páles, Zs.: Convexity with respect to families of means, Aequationes Mathematicae 89 (1), 161-167, 2015
Lajkó, K.; Mészáros, F.: Special cases of the generalized Hosszú equation on interval, Aequationes Mathematicae 89 (1), 71-81, 2015
Gselmann, E.: On a discrete version of the wave equation, Aequationes Mathematicae 89 (1), 63-70, 2015
Boros, Z.; Fechner, W.: An alternative equation for polynomial functions, Aequationes Mathematicae 89 (1), 17-22, 2015
Daróczy, Z.: An interview with János Aczél, Aequationes Mathematicae 89 (1), 1-16, 2015
Deng, Sh.; Kertész, D. Cs.; Yan, Z.: There are no proper Berwald-Einstein manifolds, Publicationes Mathematicae Debrecen 86 (1-2), 245-249, 2015
Jarczyk, W.; Páles, Zs.: Convexity and a Stone-type theorem for convex sets in abelian semigroup setting, Semigroup Forum 90 (1), 207-219, 2015
Gilányi, A.; Merentes, N.; Nikodem, K.; Páles, Zs.: Characterizations and decomposition of strongly Wright-convex functions of higher order, Opuscula Mathematica 35 (1), 37-46, 2015
Járai, A.: Regularity properties of measurable functions satisfying a multiplicative type functional equation almost everywhere, Aequationes Mathematicae 89 (2), 367-381, 2015
Kertész, D. Cs.: Finslerian Lie derivative and Landsberg manifolds, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis (New Series) 31 (2), 297-308, 2015
Bessenyei, M.: Nonlinear quasicontractions in complete metric spaces, Expositiones Mathematicae 33 (4), 517-525, 2015
Daróczy, Z.; Totik, V.: Remarks on a functional equation, Acta Sci. Math. (Szeged) 81 (3-4), 527-534, 2015
Daróczy, Z.; Jarczyk, J.; Jarczyk, W.: From a theorem of R. Ger and T. Kochanek to marginal joints of means, Aequationes Mathematicae, 2016
Páles, Zs.; Székelyné Radácsi, É.: Characterizations of higher-order convexity properties with respect to Chebyshev systems, Aequationes Mathematicae, 2016
Bessenyei, M.; Popovics, B.: Convexity without convex combinations, Journal of Geometry, 2016
Burai, P.: Convexity with respect to families of sections and lines and their application in optimization, Journal of Global Optimization, 2016
Gilányi, A.; Merentes, N.; Nikodem, K.; Páles, Zs.: On higher-order convex functions with a modulus, volume 363 of Grazer Math. Ber., page 68-76. Karl-Franzens-Univ. Graz, 2015
Kertész, D.; Tamássy, L.: Differentiable Distance Spaces, Acta Mathematica Hungarica, 2016
Boros, Z.; Nagy, N.: Generalized Rolewicz theorem for convexity of higher order, Mathematical Inequalities & Applications 18 (4), 1275-1281, 2015
Daróczy, Z.; Totik, V.: Remarks on a functional equation, Acta Sci. Math. (Szeged) 81 (3-4), 527-534, 2015
Daróczy, Z.; Jarczyk, J.; Jarczyk, W.: From a theorem of R. Ger and T. Kochanek to marginal joints of means, Aequationes Mathematicae 90 (1), 211–233, 2016
Páles, Zs.; Székelyné Radácsi, É.: Characterizations of higher-order convexity properties with respect to Chebyshev systems, Aequationes Mathematicae 90 (1), 193–210, 2016
Bessenyei, M.; Popovics, B.: Convexity without convex combinations, Journal of Geometry 107 (1), 77–88, 2016
Burai, P.: Convexity with respect to families of sections and lines and their application in optimization, Journal of Global Optimization 64 (4), 649–662, 2016
Kertész, D.; Tamássy, L.: Differentiable Distance Spaces, Acta Mathematica Hungarica, 148 (2), 405–424, 2016
Almira, J. M.; Boros, Z.: A dichotomy property for the graphs of monomials, in Topics in Functional Analysis and Algebra (ed. Russo, B.), vol 672 of Contemporary Mathematics, pp. 9–16, American Mathematical Society, Providence, Rhode Island, 2016
Almira, J. M.; Székelyhidi, L.: Characterization of classes of polynomial functions, Mediterranean Journal of Mathematics 13 (1), 301–307, 2016
Almira, J. M.; Székelyhidi, L.: Erratum to: On the closure of translation-dilation invariant linear spaces of polynomials, Results in Mathematics 69(2), 273-274, 2016
Almira, J. M. ; Székelyhidi, L.: Montel-type theorems for exponential polynomials, Demonstratio Mathematica 49(2), 197-212, 2016
Almira, J. M.; Székelyhidi, L.: On the closure of translation-dilation invariant linear spaces of polynomials, Results in Mathematics 69(1-2), 263-272, 2016
Bahyrycz, A.; Páles, Zs.; Piszczek, M.: Asymptotic stability of the Cauchy and Jensen functional equations, Acta Mathematica Hungarica 150(1) 131-141, 2016
Bessenyei, M.: The contraction principle in extended context, Publicationes Mathematicae Debrecen 89(3), 287-295, 2016
Boros, Z.; Fechner, W.; Kutas, P.: A regularity condition for quadratic functions involving the unit circle, Publicationes Mathematicae Debrecen 89(3), 297-306, 2016
Burai, P.; Makó, J.: On certain Schur-convex functions, Publicationes Mathematicae Debrecen 89(3), 307-319, 2016
Daróczy, Z.; Maksa, Gy.: The dilogarithm function and the Abel functional equation, Publicationes Mathematicae Debrecen 89(3), 321-330, 2016
Fechner, Ż.; Székelyhidi, L.: A generalization of Gajda's equation on commutative topological groups, Publicationes Mathematicae Debrecen 88(1-2) 163-176, 2016
Fechner, Ż.; Székelyhidi, L.: Sine functions on hypergroups, Archiv der Mathematik 106(4), 371-382, 2016
Gilányi, A.; Merentes, N.; Quintero, R.: Mathability and an animation related to a convex-like property, in 7th IEEE International Conference on Cognitive Infocommunications (CogInfoCom), pp. 227-232, 2016
Gilányi, A.; Merentes, N.; Quintero, R.: Presentation of an animation of the $m$-convex hull of sets, in 7th IEEE International Conference on Cognitive Infocommunications (CogInfoCom), pp. 307-308, 2016
Gselmann, E.; Kelemen, A.: Stability in the class of first order delay differential equations, Miskolc Mathematical Notes 17(1), 281-291, 2016
Gselmann, E.; Páles, Zs.: Additive solvability and linear independence of the solutions of a system of functional equations, Acta Scientiarum Mathematicarum (Szeged), 82(1-2), 101-110, 2016
Gát, Gy.: Marcinkiewicz-like means of two dimensional Vilenkin–Fourier series, Publicationes Mathematicae Debrecen 89 (3), 331-346, 2016
Gát, Gy.: Some recent results on convergence and divergence with respect to Walsh-Fourier series, Acta Mathematica. Academiae Paedagogicae Nyíregyháziensis. New Series 32 (2) 215-223, 2016
Gát, Gy.; Goginava, U.: Almost everywhere convergence of dyadic triangular-Fejér means of two-dimensional Walsh-Fourier series, Mathematical Inequalities & Applications 19 (2) 401–415, 2016
Gát, Gy.; Karagulyan, G.: On convergence properties of tensor products of some operator sequences, Journal of Geometric Analysis 26 (4) 3066–3089, 2016
Járai, A.: A 0-1 law for multiplicative functional equations, Aequationes Mathematicae 90 (1) 147–161, 2016
Losonczi, L.: Discrete generalized Wirtinger's inequalities, Publicationes Mathematicae Debrecen 88 (1-2) 177–192, 2016
Maksa, Gy.; Sablik, M.: On the alienation of the exponential Cauchy equation and the Hosszú equation, Aequationes Mathematicae 90 (1) 57–66, 2016
Makó, J.; Házy, A.: On strongly convex functions, Carpathian Journal of Mathematics 32 (1) 87-95, 2016
Páles, Zs.: A general mean value theorem, Publicationes Mathematicae Debrecen 89 (1-2) 161-172, 2016
Páles, Zs.; Pasteczka, P.: Characterization of the Hardy property of means and the best Hardy constants, Mathematical Inequalities & Applications 19 (4) 1141–1158, 2016
Száz, Á.: Basic tools, increasing functions, and closure operations in generalized ordered sets, Contributions in Mathematics and Engineering: In Honor of Constantin Carathéodory, Springer International Publishing, Cham, 551–616, 2016
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2016-05-03 13:41:58
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