Report of Meeting. The Thirteenth Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities, Zakopane (Poland), January 30 – February 2, 2013

Redakcja AMSil

Published: 2013-09-30

Vol. 27 (2013)

Report of Meeting. The Thirteenth Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities, Zakopane (Poland), January 30 – February 2, 2013

Redakcja AMSil

Abstract

Report of Meeting. The Thirteenth Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities, Zakopane (Poland), January 30 – February 2, 2013.

Keywords:

functional equations and inequalities , convex functions , means

Download files

PDF

Citation rules

AMSil, R. (2013). Report of Meeting. The Thirteenth Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities, Zakopane (Poland), January 30 – February 2, 2013. Annales Mathematicae Silesianae, 27, 107–125. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14008

Similar Articles

Sever S. Dragomir, Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces , Annales Mathematicae Silesianae: Vol. 30 (2016)
Silvestru Sever Dragomir, Gradient inequalities for an integral transform of positive operators in Hilbert spaces , Annales Mathematicae Silesianae: Vol. 37 No. 2 (2023)
Youssef Aissi, Driss Zeglami, Brahim Fadli, Alienation of Drygas' and Cauchy's functional equations , Annales Mathematicae Silesianae: Vol. 35 No. 2 (2021)
Elhoucien Elqorachi, Ahmed Redouani, Solutions and stability of generalized Kannappan’s and Van Vleck’s functional equations , Annales Mathematicae Silesianae: Vol. 32 (2018)
Janusz Brzdęk, On some conditional functional equations of Gołąb-Schinzel type , Annales Mathematicae Silesianae: Vol. 9 (1995)
Kazimierz Nikodem, Teresa Rajba, Ohlin and Levin-Stečkin-type results for strongly convex functions , Annales Mathematicae Silesianae: Vol. 34 No. 1 (2020)
Beata Hejmej, Stability of functional equations in dislocated quasimetric spaces , Annales Mathematicae Silesianae: Vol. 32 (2018)
Karol Baron, Remarks connected with the weak limit of iterates of some random-valued functions and iterative functional equations , Annales Mathematicae Silesianae: Vol. 34 No. 1 (2020)
McSylvester Ejighikeme Omaba, Eze R. Nwaeze, Generalized fractional inequalities of the Hermite-Hadamard type for convex stochastic processes , Annales Mathematicae Silesianae: Vol. 35 No. 1 (2021)
Antonio Azócar, Kazimierz Nikodem, Gari Roa, Fejér-type inequalities for strongly convex functions , Annales Mathematicae Silesianae: Vol. 26 (2012)

1 2 3 4 5 6 7 8 9 10 > >>

You may also start an advanced similarity search for this article.

References

1. Alsina C., Garcia Roig J.L., On some inequalities characterizing the exponential function, Arch. Math., Brno 26 (1990), no. 2–3, 67–71.
2. Alsina C., Ger R., On some inequalities and stability results related to the exponential function, J. Inequal. Appl. 2 (1998), no. 4, 373–380.
3. Azócar A., Giménez J., Nikodem K., Sánchez J.L., On strongly midconvex functions, Opuscula Math. 31 (2011), 15–26.
4. Baker, J.A., An analogue of the wave equation and certain related functional equations, Canad. Math. Bull. 12 (1969), 837–846.
5. Baker J.A., The stability of the cosine equation, Proc. Amer. Math. Soc. 80 (1980), 411–416.
6. Baron K., Matkowski J., Nikodem K., A sandwich with convexity, Math. Pannon. 5 (1994), 139–144.
7. Bernstein F., Doetsch G., Zur Theorie der konvexen Funktionen, Math. Ann. 76 (1915), 514–526.
8. Boros Z., Páles Zs., $\mathbb{Q}$-subdifferential of Jensen-convex functions, J. Math. Anal. Appl. 321 (2006), 99–113.
9. Bourbăcuţ N., Problem 11641, Amer. Math. Monthly 119 (2012), 345.
10. Daroczy Z., On the equality and comparison problem of a class of mean values, Aequationes Math. 81 (2011), 201–208.
11. Dinghas A., Zur Theorie der gewöhnlichen Differentialgleichungen, Ann. Acad. Sci. Fennicae, Ser. A I 375 (1966).
12. Fechner W., Some inequalities connected with the exponential function, Arch. Math., Brno 44 (2008), no. 3, 217–222.
13. Fechner W., On some functional inequalities related to the logarithmic mean, Acta Math. Hung. 128 (2010), no. 1–2, 36–45.
14. Fechner W., Functional inequalities and equivalences of some estimates, in: Inequalities and Applications 2010, dedicated to the Memory of Wolfgang Walter, Hajdúszoboszló, Hungary International Series of Numerical Mathematics 161, Birkhäuser, Basel, 2012, pp. 231–240.
15. Fechner W., Ger R., Some stability results for equations and inequalities connected with the exponential functions, in: Functional Equations and Difference Inequalities and Ulam Stability Notions (F.U.N.), Mathematics Research Developments, Nova Science Publishers Inc., New York, 2010, pp. 37–46.
16. Ger R., Nikodem K., Strongly convex functions of higher order, Nonlinear Anal. 74 (2011), 661–665.
17. Ger R., Šemrl P., The stability of the exponential equation, Proc. Amer. Math. Soc. 124 (1996), 779–787.
18. Gilányi A., Páles Zs., On Dinghas-type derivatives and convex functions of higher order, Real Anal. Exchange 27 (2001/2002), 485–493.
19. Girgensohn R., Lajkó K., A functional equation of Davison and its generalization, Aequationes Math. 60 (2000), 219–222.
20. Hopf E., Über die Zusammenhänge zwischen gewissen höheren Differenzenquotienten reeller Funktionen einer reellen Variablen und deren Differenzierbarkeitseigenschaften, Diss., Friedrich Wilhelms Universität Berlin, 1926.
21. Kominek Z., Kuczma M., Theorems of Bernstein–Doetsch, Piccard and Mehdi and semilinear topology, Arch. Math. (Basel) 52 (1989), 595–602.
22. Kuczma M., An Introduction to the Theory of Functional Equations and Inequalities. Cauchy’s Equation and Jensen’s Inequality, Second Edition, ed. by Gilányi A., Birkhäuser Verlag, Basel, 2009.
23. Laczkovich M., Székelyhidi G., Harmonic analysis on discrete abelian groups, Proc. Amer. Math. Soc. 133 (2005), 1581–1586.
24. Maksa Gy., Rätz J., Remark 5 in: Proceedings of the 19th ISFE, Nantes–La Turballe, France 1981, Centre for Information Theory, Univ. of Waterloo, 1981.
25. Mureńko A., A generalization of Bernstein–Doetsch theorem, Demonstratio Math. 45 (2012), 35–38.
26. Popoviciu T., Sur quelques propriétés des fonctions d’une ou de deux variables réelles, Mathematica (Cluj) 8 (1934), 1–85.
27. Székelyhidi L., On a class of linear functional equations, Publ. Math. (Debrecen) 29 (1982), 19–28.
28. Varga A., On additive solutions of a linear equation, Acta Math Hungar. 128 (2010), 15–25.
29. Varga A., Vincze Cs., On a functional equation containing weighted arithmetic means, International Series of Numerical Mathematics 157 (2009), 305–315.
30. Varga A., Vincze Cs., On Daróczy’s problem for additive functions, Publ. Math. Debrecen 75 (2009), 299–310.
31. Veselý L., Zajiček L., Delta-convex mappings between Banach spaces and applications, Dissertationes Math. 289, Polish Scientific Publishers, Warszawa, 1989. Google Scholar

Vol. 27 (2013)
Published: 2013-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

Submit