Warianty tytułu
Języki publikacji
Abstrakty
We prove that every Jensen convex function mapping a real linear Polish space into R bounded above on a nonzero Christensen measurable set is convex.(original abstract)
Słowa kluczowe
Twórcy
autor
- Rzeszów University of Technology
Bibliografia
- Brzdęk J., The Christensen measurable solutions of a generalization of the Gołab- Schinzel functional equation, Ann. Polon. Math. 64 (1996), no. 3, 195-205.
- Christensen J.P.R., On sets ofHaar measure zero in abelian Polish groups. Proceedings of the International Symposium on Partial Differential Equations and the Geometry of Normed Linear Spaces (Jerusalem, 1972), Israel J. Math. 13 (1972), 255-260.
- Christensen J.P.R., Topology and Borel structure. Descriptive topology and set theory with applications to functional analysis and measure theory. North-Holland Mathematics Studies, Vol. 10. (Notas de Matematica, No. 51). North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1974.
- Fischer P., Słodkowski Z., Christensen zero sets and measurable convex functions, Proc. Amer. Math. Soc. 79 (1980), no. 3, 449-453.
- Kuczma M., An Introduction to the Theory of Functional Equations and Inequalities. Cauchy's Equation and Jensen's Inequality. Second edition, Birkhauser Verlag AG, Basel-Boston-Berlin, 2009.
- Report of Meeting, The Twenty-first International Symposium on Functional Equations, August 6 - August 13, 1983, Konolfingen, Switzerland, Aequationes Math. 26 (1984), 225-294.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171621962