On support, separation and decomposition theorems for t-Wright-concave functions

Author:

Olbryś Andrzej1

Affiliation:

1. Institute of Mathematics University of Silesia Bankowa 14 40-007 Katowice Poland

Abstract

Abstract In the present paper we prove a separation theorem for t-Wright convex and t-Wright concave functionals. We also consider the problem of supporting the t-Wright concave functions by t-Wright affine ones. As a consequence of these results we prove some decomposition theorems for t-Wright convex functions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference23 articles.

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2. Kominek, Z.: A continuity result on t-Wright convex functions, Publ. Math. 63 (2003), 213–219.

3. Kominek, Z.: Convex Functions in Linear Spaces, Prace Naukowe Uniwersytetu Śląskiego w Katowicach 1087, Katowice, 1989.

4. König, H.: On the abstract Hahn-Banach theorem due to Rodé, Aequationes Math. 34 (1987), 89–95.

5. Kuczma, M.: An Introduction to the Theory of Functional Equations and Inequalities, Polish Scientific Publishers and Silesian University Press, Warszawa-Kraków-Katowice, 1985.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Convexity properties of functions defined on metric Abelian groups;Aequationes mathematicae;2020-08-25

2. An Elementary Proof for the Decomposition Theorem of Wright Convex Functions;Annales Mathematicae Silesianae;2020-07-01

3. Support theorems in abstract settings;Publicationes Mathematicae Debrecen;2018-07-01

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