A new refinement of discrete Jensen's inequality depending on parameters

DOI10.1186/1029-242X-2013-551zbMath1297.26029OpenAlexW2096958872WikidataQ59294725 ScholiaQ59294725MaRDI QIDQ2250316

László Horváth

Publication date: 7 July 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-551

zbMATH Keywords

convex functionquasi-arithmetic meanmid-convex functiondiscrete Jensen's inequality

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Inequalities involving other types of functions (26D07)

Cites Work

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

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