Extension of Jensen's inequality to affine combinations

DOI10.1186/1029-242X-2014-298zbMath1336.26011WikidataQ59321252 ScholiaQ59321252MaRDI QIDQ260412

Zlatko Pavić

Publication date: 21 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

convex combinationconvex functionJensen's inequalityaffine combination

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

On a Mercer like inequality involving generalized Csiszár f-divergences

Cites Work

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• The inequalities for quasiarithmetic means
• A generalization of Mercer's result on convex functions
• Convex functions, partial orderings, and statistical applications
• Refinement and converse of Brunk-Olkin inequality
• The applications of functional variants of Jensen's inequality
• Mercer and Wu-Srivastava generalisations of Steffensen's inequality
• A Simple Proof of the Jensen-Steffensen Inequality
• Inequalities: theory of majorization and its applications

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