Best possible global bounds for Jensen's inequality

DOI10.1016/J.AMC.2009.08.062zbMath1179.26078OpenAlexW2061398370MaRDI QIDQ1039691

Slavko Simić

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.062

zbMATH Keywords

Jensen's discrete inequalityglobal boundsgeneralized \(A-G-H\) inequalityLagrange means

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (5)

On the refinement of Jensen's inequality ⋮ New refinements of Jensen's inequality and entropy upper bounds ⋮ On the converse Jensen inequality ⋮ A new refinement of Jensen's inequality with applications in information theory ⋮ Further sharpening of Jensen's inequality

Cites Work

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• On Jessen's inequality for convex functions
• Some bounds on entropy measures in information theory
• On a global upper bound for Jensen's inequality
• Bounds for the normalised Jensen functional
• Analytic Inequalities

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