Necessary and sufficient conditions for the validity of Jensen's inequality

DOI10.1007/s00013-013-0522-3zbMath1280.26027OpenAlexW2127037416MaRDI QIDQ354688

Allal Guessab, Gerhard Schmeisser

Publication date: 19 July 2013

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

Full work available at URL: https://doi.org/10.1007/s00013-013-0522-3

zbMATH Keywords

Jensen's inequalityconvex functionspositive functionalsubliniear functional

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Inequalities involving other types of functions (26D07)

Related Items (5)

Fractional version of the Jensen-Mercer and Hermite-Jensen-Mercer type inequalities for strongly h-convex function ⋮ Inequalities for convex functions and isotonic sublinear functionals ⋮ Well-posedness for a class of doubly nonlinear stochastic PDEs of divergence type ⋮ On new general versions of Hermite-Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel ⋮ Jensen's inequality for backward SDEs driven by \(G\)-Brownian motion

Cites Work

• Unnamed Item
• Convexity inequalities for positive operators
• The minimal sublinear expectations and their related properties
• Probability theory. Translated from the German by Robert B. Burckel
• On Jensen's inequality for \(g\)-expectation and for nonlinear expectation
• Jensen’s inequality

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