Report of Meeting: The Ninth Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities, Będlewo (Poland), February 4–7, 2009
Abstract
Report of Meeting: The Ninth Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities, Będlewo (Poland), February 4–7, 2009.
Keywords
functional equations and inequalities; convex functions
References
1. Alsina C., Ger R., On some inequalities and stability results related to the exponential function, J. Inequal. Appl. 2 (1998), 373–380.
2. Baker J.A., On some mathematical characters, Glas. Mat. Ser. III 25(45) (1990), 319–328.
3. Baron K., Sablik M., Volkmann P., On decent solutions of a functional congruence, Rocznik Nauk.-Dydakt. Prace Mat. 17 (2000), 27–39.
4. Baron K., Volkmann P., On the Cauchy equation modulo ℤ, Fund. Math. 131 (1988), 143–148.
5. Brodszkij V.Sz., Szlipenko A.K., Functional Equations, Visa Skola, Kiev, 1986 [in Russian].
6. Brzdęk J., The Cauchy and Jensen differences on semigroups, Publ. Math. Debrecen 48 (1996), 117–136.
7. van der Corput J.G., Goniometrische functies gekarakteriseerd door een functionaal betrekking, Euclides 17 (1940), 55–75.
8. Cuculière R., Problem 11345, Amer. Math. Monthly 115 (2008), 166.
9. Daróczy Z., Maksa Gy., Páles Zs., Extension theorems for the Matkowski–Sutô problem, Demonstratio Math. 33 (2000), no. 3, 547–556.
10. Daróczy Z., Páles Zs., On means that are both quasi-arithmetic and conjugate arithmetic, Acta Math. Hungar. 90 (2001), no. 4, 271–282.
11. Daróczy Z., Páles Zs., Gauss-composition of means and the solution of the Matkowski–Sutô problem, Publ. Math. Debrecen 61 (2002), no. 1–2, 157–218.
12. Hardy G.H., Littlewood J.E., Pólya G., Inequalities, University Press, Cambridge, 1934 (1st ed.), 1952 (2nd ed.).
13. Jarczyk J., Invariance of weighted quasi-arithmetic means with continuous generators, Publ. Math. Debrecen 71 (2007), no. 3–4, 279–294.
14. Lajkó K., Functional Equations in Exercises, University Press of Debrecen, 2005 [in Hungarian].
15. Matkowski J., Invariant and complementary quasi-arithmetic means, Aequationes Math. 57 (1999), no. 1, 87–107.
16. Moslehian M.S., 3. Problem, Inequalities and Applications (Eds. C. Bandle, et al.), Birkhäuser Verlag, Basel, 2009.
17. Páles Zs., A regularity theorem for composite functional equations, Acta Sci. Math. (Szeged) 69 (2003), 591–604.
18. Sablik M., A functional congruence revisited, Grazer Math. Ber. 316 (1992), 181–200.
19. Sutô O., Studies on some functional equations I, Tôhoku Math. J. 6 (1914), 1–15.
20. Sutô O., Studies on some functional equations II, Tôhoku Math. J. 6 (1914), 82–101.
21. Száz Á., Száz G., Additive relations, Publ. Math. Debrecen 20 (1973), 259–272.
22. Székelyhidi L., Stability properties of functional equations describing the scientific laws, J. Math. Anal. Appl. 150 (1990), 151–158.
2. Baker J.A., On some mathematical characters, Glas. Mat. Ser. III 25(45) (1990), 319–328.
3. Baron K., Sablik M., Volkmann P., On decent solutions of a functional congruence, Rocznik Nauk.-Dydakt. Prace Mat. 17 (2000), 27–39.
4. Baron K., Volkmann P., On the Cauchy equation modulo ℤ, Fund. Math. 131 (1988), 143–148.
5. Brodszkij V.Sz., Szlipenko A.K., Functional Equations, Visa Skola, Kiev, 1986 [in Russian].
6. Brzdęk J., The Cauchy and Jensen differences on semigroups, Publ. Math. Debrecen 48 (1996), 117–136.
7. van der Corput J.G., Goniometrische functies gekarakteriseerd door een functionaal betrekking, Euclides 17 (1940), 55–75.
8. Cuculière R., Problem 11345, Amer. Math. Monthly 115 (2008), 166.
9. Daróczy Z., Maksa Gy., Páles Zs., Extension theorems for the Matkowski–Sutô problem, Demonstratio Math. 33 (2000), no. 3, 547–556.
10. Daróczy Z., Páles Zs., On means that are both quasi-arithmetic and conjugate arithmetic, Acta Math. Hungar. 90 (2001), no. 4, 271–282.
11. Daróczy Z., Páles Zs., Gauss-composition of means and the solution of the Matkowski–Sutô problem, Publ. Math. Debrecen 61 (2002), no. 1–2, 157–218.
12. Hardy G.H., Littlewood J.E., Pólya G., Inequalities, University Press, Cambridge, 1934 (1st ed.), 1952 (2nd ed.).
13. Jarczyk J., Invariance of weighted quasi-arithmetic means with continuous generators, Publ. Math. Debrecen 71 (2007), no. 3–4, 279–294.
14. Lajkó K., Functional Equations in Exercises, University Press of Debrecen, 2005 [in Hungarian].
15. Matkowski J., Invariant and complementary quasi-arithmetic means, Aequationes Math. 57 (1999), no. 1, 87–107.
16. Moslehian M.S., 3. Problem, Inequalities and Applications (Eds. C. Bandle, et al.), Birkhäuser Verlag, Basel, 2009.
17. Páles Zs., A regularity theorem for composite functional equations, Acta Sci. Math. (Szeged) 69 (2003), 591–604.
18. Sablik M., A functional congruence revisited, Grazer Math. Ber. 316 (1992), 181–200.
19. Sutô O., Studies on some functional equations I, Tôhoku Math. J. 6 (1914), 1–15.
20. Sutô O., Studies on some functional equations II, Tôhoku Math. J. 6 (1914), 82–101.
21. Száz Á., Száz G., Additive relations, Publ. Math. Debrecen 20 (1973), 259–272.
22. Székelyhidi L., Stability properties of functional equations describing the scientific laws, J. Math. Anal. Appl. 150 (1990), 151–158.
AMSilR. (2009). Report of Meeting: The Ninth Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities, Będlewo (Poland), February 4–7, 2009. Annales Mathematicae Silesianae, 23, 103-117. Retrieved from https://www.journals.us.edu.pl/index.php/AMSIL/article/view/14047
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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