Report of Meeting. The Seventeenth Katowice–Debrecen Winter Seminar Zakopane (Poland) , February 1–4, 2017
Abstract
Report of Meeting. The Seventeenth Katowice–Debrecen Winter Seminar Zakopane (Poland) , February 1–4, 2017.
Keywords
functional equations and inequalities; convex functions
References
1. Aczél J., Daróczy Z., Über verallgemeinerte quasilineare Mittelwerte, die mit Gewichtsfunktionen gebildet sind, Publ. Math. Debrecen 10 (1963), 171–190.
2. Almira J.M., Shulman E.V., On certain generalizations of the Levi-Civita and Wilson functional equations. Preprint.
3. Bessenyei M., Pénzes E., Separation problems in context of h-convexity. Preprint.
4. Bourbăcuţ N., Problem 11641, Amer. Math. Monthly 119 (2012), no. 4, p. 345.
5. Carleson L., On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135–157.
6. Daróczy Z., Maksa Gy., Páles Zs., On two-variable means with variable weights, Aequationes Math. 67 (2004), no. 1–2, 154–159.
7. Farah I., Approximate homomorphisms. II: Group homomorphisms, Combinatorica 20 (2000), no. 1, 47–60.
8. Fechner Ż., Székelyhidi L., Sine functions on hypergroups, Arch. Math. (Basel) 106 (2016), no. 4, 371–382.
9. Gajda Z., On multiplicative solutions of the parallelogram functional equation, Abh. Math. Sem. Univ. Hamburg 63 (1993), 59–66.
10. Ger R., A Functional Inequality, Solution of Problem 11641, Amer. Math. Monthly 121 (2014), no. 2, 174–175.
11. Gilányi A., Merentes N., Quintero R., Mathability and an animation related to a convex-like property, 7th IEEE Conference on Cognitive Infocommunications (CogInfoCom) 2016, pp. 227–231.
12. Gilányi A., Merentes N., Quintero R., Presentation of an animation of the m-convex hull of sets, 7th IEEE Conference on Cognitive Infocommunications (CogInfoCom) 2016, pp. 307–308.
13. Hammer C., Volkmann P., Die multiplikativen Lösungen der Parallelogrammgleichung, Abh. Math. Sem. Univ. Hamburg 61 (1991), 197–201.
14. Kominek Z., Sikorska J., Alienation of the logarithmic and exponential functional equations, Aequationes Math. 90 (2016), no. 1, 107–121.
15. Lara T., Merentes N., Nikodem K., Strong h-convexity and separation theorems, Int. J. Anal. 2016 (2016), 5 pp.
16. Lisak A., Sablik M., Trapezoidal rule revisited, Bull. Inst. Math. Acad. Sin. (N.S.) 6 (2011), no. 3, 347–360.
17. Losonczi L., Equality of two variable weighted means: reduction to differential equations, Aequationes Math. 58 (1999), no. 3, 223–241.
18. Marinescu D.Ş., Monea M., An extension of a Ger’s result, Ann. Math. Sil. To appear.
19. Matkowski J., Remark on BV-solutions of a functional equation connected with invariant measures, Aequationes Math. 29 (1985), no. 2–3, 210–213.
20. Olbryś A., A support theorem for delta (s, t)-convex mappings, Aequationes Math. 89 (2015), no. 3, 937–948.
21. Olbryś A., On separation by h-convex functions, Tatra Mt. Math. Publ. 62 (2015), 105–111.
22. Páles Zs., Problems in the regularity theory of functional equations, Aequationes Math. 63 (2002), no. 1–2, 1–17.
23. Páles Zs., Pasteczka P., Characterization of the Hardy property of means and the best Hardy constants, Math. Inequal. Appl. 19 (2016), no. 4, 1141–1158.
24. Pawlikowska I., A characterization of polynomials through Flett’s MVT, Publ. Math. Debrecen 60 (2002), no. 1–2, 1–14.
25. Rădulescu M., On a supra-additive and supra-multiplicative operator of C(X), Bull. Math. Soc. Sci. Math. R.S. Roumanie (N.S.) 24(72) (1980), no. 3, 303–305.
26. Sablik M., Taylor’s theorem and functional equations, Aequationes Math. 60 (2000), no. 3, 258–267.
27. Székelyhidi L., Convolution type functional equations on topological abelian groups, World Scientific Publishing Co. Inc., Teaneck, 1991.
28. Székelyhidi L., Functional Equations on Hypergroups, World Scientific Publishing Co. Pte. Ltd., Hackensack, 2013.
29. Toader G., Some generalizations of the convexity, in: Proceedings of the colloquium on approximation and optimization (Cluj-Napoca, 1985), Univ. Cluj-Napoca, Cluj-Napoca, 1985, pp. 329–338.
30. Totik V., On the divergence of Fourier series, Publ. Math. Debrecen 29 (1982), no. 3–4, 251–264.
31. Voit M., Sine functions on compact commutative hypergroups, Arch. Math. (Basel) 107 (2016), no. 3, 259–263.
32. Zalcwasser Z., Sur la sommabilité des séries de Fourier, Studia Math. 6 (1936), 82–88.
2. Almira J.M., Shulman E.V., On certain generalizations of the Levi-Civita and Wilson functional equations. Preprint.
3. Bessenyei M., Pénzes E., Separation problems in context of h-convexity. Preprint.
4. Bourbăcuţ N., Problem 11641, Amer. Math. Monthly 119 (2012), no. 4, p. 345.
5. Carleson L., On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135–157.
6. Daróczy Z., Maksa Gy., Páles Zs., On two-variable means with variable weights, Aequationes Math. 67 (2004), no. 1–2, 154–159.
7. Farah I., Approximate homomorphisms. II: Group homomorphisms, Combinatorica 20 (2000), no. 1, 47–60.
8. Fechner Ż., Székelyhidi L., Sine functions on hypergroups, Arch. Math. (Basel) 106 (2016), no. 4, 371–382.
9. Gajda Z., On multiplicative solutions of the parallelogram functional equation, Abh. Math. Sem. Univ. Hamburg 63 (1993), 59–66.
10. Ger R., A Functional Inequality, Solution of Problem 11641, Amer. Math. Monthly 121 (2014), no. 2, 174–175.
11. Gilányi A., Merentes N., Quintero R., Mathability and an animation related to a convex-like property, 7th IEEE Conference on Cognitive Infocommunications (CogInfoCom) 2016, pp. 227–231.
12. Gilányi A., Merentes N., Quintero R., Presentation of an animation of the m-convex hull of sets, 7th IEEE Conference on Cognitive Infocommunications (CogInfoCom) 2016, pp. 307–308.
13. Hammer C., Volkmann P., Die multiplikativen Lösungen der Parallelogrammgleichung, Abh. Math. Sem. Univ. Hamburg 61 (1991), 197–201.
14. Kominek Z., Sikorska J., Alienation of the logarithmic and exponential functional equations, Aequationes Math. 90 (2016), no. 1, 107–121.
15. Lara T., Merentes N., Nikodem K., Strong h-convexity and separation theorems, Int. J. Anal. 2016 (2016), 5 pp.
16. Lisak A., Sablik M., Trapezoidal rule revisited, Bull. Inst. Math. Acad. Sin. (N.S.) 6 (2011), no. 3, 347–360.
17. Losonczi L., Equality of two variable weighted means: reduction to differential equations, Aequationes Math. 58 (1999), no. 3, 223–241.
18. Marinescu D.Ş., Monea M., An extension of a Ger’s result, Ann. Math. Sil. To appear.
19. Matkowski J., Remark on BV-solutions of a functional equation connected with invariant measures, Aequationes Math. 29 (1985), no. 2–3, 210–213.
20. Olbryś A., A support theorem for delta (s, t)-convex mappings, Aequationes Math. 89 (2015), no. 3, 937–948.
21. Olbryś A., On separation by h-convex functions, Tatra Mt. Math. Publ. 62 (2015), 105–111.
22. Páles Zs., Problems in the regularity theory of functional equations, Aequationes Math. 63 (2002), no. 1–2, 1–17.
23. Páles Zs., Pasteczka P., Characterization of the Hardy property of means and the best Hardy constants, Math. Inequal. Appl. 19 (2016), no. 4, 1141–1158.
24. Pawlikowska I., A characterization of polynomials through Flett’s MVT, Publ. Math. Debrecen 60 (2002), no. 1–2, 1–14.
25. Rădulescu M., On a supra-additive and supra-multiplicative operator of C(X), Bull. Math. Soc. Sci. Math. R.S. Roumanie (N.S.) 24(72) (1980), no. 3, 303–305.
26. Sablik M., Taylor’s theorem and functional equations, Aequationes Math. 60 (2000), no. 3, 258–267.
27. Székelyhidi L., Convolution type functional equations on topological abelian groups, World Scientific Publishing Co. Inc., Teaneck, 1991.
28. Székelyhidi L., Functional Equations on Hypergroups, World Scientific Publishing Co. Pte. Ltd., Hackensack, 2013.
29. Toader G., Some generalizations of the convexity, in: Proceedings of the colloquium on approximation and optimization (Cluj-Napoca, 1985), Univ. Cluj-Napoca, Cluj-Napoca, 1985, pp. 329–338.
30. Totik V., On the divergence of Fourier series, Publ. Math. Debrecen 29 (1982), no. 3–4, 251–264.
31. Voit M., Sine functions on compact commutative hypergroups, Arch. Math. (Basel) 107 (2016), no. 3, 259–263.
32. Zalcwasser Z., Sur la sommabilité des séries de Fourier, Studia Math. 6 (1936), 82–88.
AMSilR. (2017). Report of Meeting. The Seventeenth Katowice–Debrecen Winter Seminar Zakopane (Poland) , February 1–4, 2017. Annales Mathematicae Silesianae, 31, 187-204. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13952
Redakcja AMSil
annales.math@us.edu.pl
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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