Refinement of Jensen's inequality with applications to cyclic mixed symmetric means and Cauchy means

DOI10.7153/jmi-09-100zbMath1331.26025OpenAlexW2343569078MaRDI QIDQ3458877

Khuram Ali Khan, Josip E. Pečarić, Ilko Brnetić

Publication date: 28 December 2015

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-09-100

zbMATH Keywords

convex functionexponentially convex functionCauchy meansmixed symmetric means

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Related Items (12)

Generalization of cyclic refinements of Jensen's inequality by Fink's identity ⋮ On a variant and extension of Gabler inequality ⋮ New bounds for Shannon, relative and Mandelbrot entropies via Hermite interpolating polynomial ⋮ Cyclic refinements of the discrete and integral form of Jensen's inequality with applications ⋮ Generalization of cyclic refinements of Jensen inequality by montgomery identity and Green’s function ⋮ Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality ⋮ Generalizations of cyclic refinements of Jensen's inequality by Lidstone's polynomial with applications in information theory ⋮ New refinements of the discrete Jensen's inequality generated by finite or infinite permutations ⋮ New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial ⋮ Cyclic Refinements of the Different Versions of Operator Jensen's Inequality ⋮ Refinements of the integral Jensen's inequality generated by finite or infinite permutations ⋮ Generalized cyclic Jensen and information inequalities

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