A refinement of the integral form of Jensen's inequality

DOI10.1186/1029-242X-2012-178zbMath1279.26031OpenAlexW2101846922WikidataQ59288743 ScholiaQ59288743MaRDI QIDQ386695

László Horváth

Publication date: 10 December 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-178

zbMATH Keywords

convex functionJensen's inequalityHermite-Hadamard inequalitymeasure space

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

Related Items (4)

Unnamed Item ⋮ From integral estimates of functions to uniform and locally averaged ones ⋮ New refinements of the discrete Jensen's inequality generated by finite or infinite permutations ⋮ Refinements of the integral Jensen's inequality generated by finite or infinite permutations

Cites Work

• A method to refine the discrete Jensen's inequality for convex and mid-convex functions
• Further refinements of the Jensen inequalities based upon samples with repetitions

This page was built for publication: A refinement of the integral form of Jensen's inequality