On \((\alpha, a)\)-convex functions

DOI10.1007/BF01196632zbMath0813.26004OpenAlexW2073930464MaRDI QIDQ1345847

Janusz Matkowski, Marek Pycia

Publication date: 3 April 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196632

zbMATH Keywords

linear spaceadditive functions\((\alpha,a)\)-convex functionsalgebraically conjugate numbersJensen convex functionssupporting affine functiontheorem of Rodé

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Systems of functional equations and inequalities (39B72)

Related Items (3)

On the commutation of generalized means on probability spaces ⋮ Convexity properties of functions defined on metric abelian groups ⋮ A support theorem for delta \((s,t)\)-convex mappings

Cites Work

• On \((a,b)\)-convex functions
• Eine abstrakte Version des Satzes von Hahn-Banach
• Über eine Klasse von Funktionalgleichungen
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