A method to refine the discrete Jensen's inequality for convex and mid-convex functions

DOI10.1016/j.mcm.2011.05.060zbMath1235.26012OpenAlexW1991973408MaRDI QIDQ409928

László Horváth

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.05.060

zbMATH Keywords

convexdiscrete Jensen's inequalitiesmid-convex

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (12)

Refinement of Jensen's inequality and estimation of \(f\)- and Rényi divergence via Montgomery identity ⋮ Unnamed Item ⋮ New refinements of Jensen's inequality and entropy upper bounds ⋮ On generalization of refinement of Jensen's inequality using Fink's identity and Abel-gontscharoff Green function ⋮ A refinement of the integral form of Jensen's inequality ⋮ New bounds of cyclic Jensen's differences via weighted Hadamard inequalities with applications ⋮ Estimation of different entropies via Lidstone polynomial using Jensen-type functionals ⋮ A new refinement of discrete Jensen's inequality depending on parameters ⋮ Estimation of different entropies via Hermite interpolating polynomial using Jensen-type functionals ⋮ Unnamed Item ⋮ A new refinement of Jensen's inequality with applications in information theory ⋮ Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals

Cites Work

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• Further refinements of the Jensen inequalities based upon samples with repetitions
• New refinements of the Jensen inequalities based on samples with repetitions
• A refinement of the discrete Jensen's inequality

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