On the refinement of Jensen's inequality

DOI10.1016/j.amc.2015.04.012zbMath1410.26032OpenAlexW320014142MaRDI QIDQ1663391

M. Adil Khan, G. Ali Khan, Tahir Ali, Adem Kilicman

Publication date: 21 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.012

zbMATH Keywords

Jensen's inequalityconvex functions\(f\)-divergence measuresmean \(f\)-deviations

Mathematics Subject Classification ID

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

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Cites Work

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• Best possible global bounds for Jensen's inequality
• On Jessen's inequality for convex functions
• Some refinements of Jensen's inequality
• A symmetric information divergence measure of the Csiszár's \(f\)-divergence class and its bounds
• Refined Jensen's operator inequality with condition on spectra
• On Information and Sufficiency

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