Functional inequality characterizing nonnegative concave functions in \((0,\infty)^ k\)

DOI10.1007/BF01835704zbMath0756.39017OpenAlexW4240809281MaRDI QIDQ1198195

Janusz Matkowski

Publication date: 16 January 1993

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

Full work available at URL: https://eudml.org/doc/137465

zbMATH Keywords

functional inequalitiesHölder inequalityJensen inequalityconjugate functionsMinkowski inequalitynonnegative concave functions

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 (4)

The converse theorem for Minkowski's inequality. ⋮ Conjugate functions, L^p-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity ⋮ Subhomogeneity and subadditivity of the \(L^p\)-norm like functionals ⋮ Converse theorem for the Minkowski inequality

Cites Work

• A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities
• The Converse of the Minkowski's Inequality Theorem and its Generalization

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