Report of Meeting. The Nineteenth Katowice-Debrecen Winter Seminar on Functional Equations and Inequalities Zakopane (Poland), January 30-February 2, 2019

• Autorzy: Radosław Łukasik
• Języki publikacji: EN

Abstrakty

EN

Report of Meeting. The Nineteenth Katowice-Debrecen Winter Seminar on Functional Equations and Inequalities Zakopane (Poland), January 30-February 2, 2019(original abstract)

Słowa kluczowe

EN

Mathematics; Mathematical functions; Mathematical statistics; Algebra; Functional equation

PL

Matematyka; Funkcje matematyczne; Statystyka matematyczna; Algebra; Równanie funkcyjne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2019
• Tom: 33
• Strony: 298--305

Twórcy

autor

Radosław Łukasik

Bibliografia

• J. Aczél, A mean value property of the derivative of quadratic polynomials - without mean values and derivatives, Math. Mag. 58 (1985), no. 1, 42-45.
• T. Akhobadze, On the convergence of generalized Cesàro means of trigonometric Fourier series. I, Acta Math. Hungar. 115 (2007), no. 1-2, 59-78.
• H. Alzer and St. Ruscheweyh, On the intersection of two-parameter mean value families, Proc. Amer. Math. Soc. 129 (2001), no. 9, 2655-2662.
• M. Amou, Multiadditive functions satisfying certain functional equations, Aequationes Math. 93 (2019), 345-350.
• M. Bajraktarević, Sur une équation fonctionnelle aux valeurs moyennes, Glasnik Mat.-Fiz. Astronom. Društvo Mat. Fiz. Hrvatske. Ser. II 13 (1958), 243-248.
• M. Bajraktarević, Über die Vergleichbarkeit der mit Gewichtsfunktionen gebildeten Mittelwerte, Studia Sci. Math. Hungar. 4 (1969), 3-8.
• Z.M. Balogh, O.O. Ibrogimov and B.S. Mityagin, Functional equations and the Cauchy mean value theorem, Aequationes Math. 90 (2016), no. 4, 683-697.
• K. Baron, On the convergence in law of iterates of random-valued functions, Aust. J. Math. Anal. Appl. 6 (2009), no. 1, Art. 3, 9 pp.
• K. Baron and J. Morawiec, Lipschitzian solutions to linear iterative equations revisited, Aequationes Math. 91 (2017), 161-167.
• G.Gy. Borus and A. Gilányi, Solving systems of linear functional equations with computer, 4^{th} IEEE International Conference on Cognitive Infocommunications (CogInfoCom), IEEE, 2013, 559-562.
• P. Carter and D. Lowry-Duda, On functions whose mean value abscissas are midpoints, with connections to harmonic functions, Amer. Math. Monthly 124 (2017), no. 6, 535-542.
• J. Dhombres, Relations de dépendance entre les équations fonctionnelles de Cauchy, Aequationes Math. 35 (1988), 186-212.
• 6 R. Ger and M. Sablik, Alien functional equations: a selective survey of results, in: J. Brzdęk et al. (Eds.), Developments in Functional Equations and Related Topics, Springer Optim. Appl. 124, Springer, Cham, 2017, pp. 107-147.
• A. Gilányi, Charakterisierung von monomialen Funktionen und Lösung von Funktionalgleichungen mit Computern, Diss., Universität Karlsruhe, Karlsruhe, Germany, 1995.
• A. Gilányi, Solving linear functional equations with computer, Math. Pannon. 9 (1998), 57-70.
• Sh. Haruki, A property of quadratic polynomials, Amer. Math. Monthly 86 (1979), no. 7, 577-579.
• R. Kapica, The geometric rate of convergence of random iteration in the Hutchinson distance, Aequationes Math. 93 (2019), 149-160.
• T. Kiss and Zs. Páles, On a functional equation related to two-variable weighted quasiarithmetic means, J. Difference Equ. Appl. 24 (2018), no. 1, 107-126.
• T. Kiss and Zs. Páles, On a functional equation related to two-variable Cauchy means, Math. Inequal. Appl. 22 (2019).
• M. Kuczma, B. Choczewski and R. Ger, Iterative functional equations, Encyclopedia of Mathematics and its Applications 32, Cambridge University Press, Cambridge, 1990.
• E.B. Leach and M.C. Sholander, Multivariable extended mean values, J. Math. Anal. Appl. 104 (1984), no. 2, 390-407.
• R. Łukasik, A note on the orthogonality equation with two functions, Aequationes Math. 90 (2016), no. 5, 961-965.
• R. Łukasik, A note on functional equations connected with the Cauchy mean value theorem, Aequationes Math. 92 (2018), no. 5, 935-947.
• R. Łukasik and P. Wójcik, Decomposition of two functions in the orthogonality equation, Aequationes Math. 90 (2016), no. 3, 495-499.
• A.W. Marshall, I. Olkin and B.C. Arnold, Inequalities: Theory of Majorization and Its Applications, Second edition, Springer Series in Statistics, New York-Dordrecht-Heidelberg-London, 2011.
• K. Nikodem, On ϵ-invariant measures and a functional equation, Czechoslovak Math. J. 41 (1991), no. 4, 565-569.
• A. Nishiyama and S. Horinouchi, On a system of functional equations, Aequationes Math. 1 (1968), 1-5.
• A. Olbryś and T. Szostok, On T-Schur convex maps. Submitted.
• Zs. Páles, On approximately convex functions, Proc. Amer. Math. Soc. 131 (2003), no. 1, 243-252.
• M. Sablik, An elementary method of solving functional equations, Ann. Univ. Sci. Budapest. Sect. Comput. 48 (2018), 181-188.
• P.K. Sahoo and T. Riedel, Mean Value Theorems and Functional Equations, World Scientific Publishing Co., Inc., River Edge, NJ, 1998.
• E. Shulman, Subadditive set-functions on semigroups, applications to group representations and functional equations, J. Funct. Anal. 263 (2012), no. 5, 1468-1484.
• L. Székelyhidi, On a class of linear functional equations, Publ. Math. Debrecen 29 (1982), no. 1-2, 19-28.
• L. Székelyhidi, On a linear functional equation, Aequationes Math. 38 (1989), no. 2-3, 113-122.
• L. Székelyhidi, Convolution Type Functional Equations on Topological Abelian Groups, World Scientific Publishing Co., Teaneck, NJ, 1991.
• L. Székelyhidi, On the extension of exponential polynomials, Math. Bohem. 125 (2000), no. 3, 365-370.
• T. Szostok, Inequalities for convex functions via Stieltjes integral, Lith. Math. J. 58 (2018), no. 1, 95-103.

Identyfikatory

DOI

10.2478/amsil-2019-0002