Midpoint convex functions majorized by midpoint concave functions

DOI10.1007/BF02311298zbMath0612.26007OpenAlexW4234767451MaRDI QIDQ1088012

Kazimierz Nikodem

Publication date: 1987

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137175

zbMATH Keywords

majorizationCauchy functional equationmidpoint concave functionset-valued midpoint-convex functionstheorem of Bernstein and Doetsch

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Functional equations and inequalities (39B99)

Related Items (10)

Decomposition of higher-order Wright-convex functions ⋮ On a problem of K. Nikodem ⋮ Affine selections of convex set-valued functions ⋮ On Strongly Wright-Convex Stochastic Processes ⋮ On a certain Polish Mathematician: a brief summary of scientific research and achievements of Kazimierz Nikodem, Professor of mathematics ⋮ Additive selections of superadditive set-valued functions ⋮ Some representations of midconvex set-valued functions ⋮ On some properties of \(J\)-convex stochastic processes ⋮ Representation theorems for \(t\)-wright convexity ⋮ On Strongly Convex Functions and Related Classes of Functions

Cites Work

• Unnamed Item
• Unnamed Item

This page was built for publication: Midpoint convex functions majorized by midpoint concave functions