Generalizations of cyclic refinements of Jensen's inequality by Lidstone's polynomial with applications in information theory

DOI10.7153/jmi-2020-14-17zbMath1444.26035OpenAlexW3012221704MaRDI QIDQ5109759

Nasir Mehmood, Đilda Pečarić, Saad Ihsan Butt, Josip E. Pečarić

Publication date: 13 May 2020

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

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-17

zbMATH Keywords

relative entropyShannon entropyZipf-Mandelbrot entropynew Green functionsdivergence functional\(2n\)-convex functionLidstone's polynomial

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Information theory (general) (94A15)

Related Items (12)

New fractional Hermite-Hadamard-Mercer inequalities for harmonically convex function ⋮ New Hadamard-type inequalities via $(s,m_{1},m_{2})$-convex functions ⋮ Generalized fractal Jensen and Jensen-Mercer inequalities for harmonic convex function with applications ⋮ Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional ⋮ JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS ⋮ FRACTAL HADAMARD–MERCER-TYPE INEQUALITIES WITH APPLICATIONS ⋮ New integral type inequalities via Raina-convex functions and its applications ⋮ Newton-Simpson-type inequalities via majorization ⋮ Several Jensen-grüss inequalities with applications in information theory ⋮ Novel refinements via \(n\)-polynomial harmonically \(s\)-type convex functions and application in special functions ⋮ Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial ⋮ Generalized cyclic Jensen and information inequalities

Cites Work

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• Generalization of Jensen's inequality by Lidstone's polynomial and related results
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