Majorization inequalities via Green functions and Fink's identity with applications to Shannon entropy

DOI10.1186/s13660-020-02455-0zbMath1503.26077OpenAlexW3088545607MaRDI QIDQ2069525

Yanyan Li

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02455-0

zbMATH Keywords

Kullback-Leibler divergenceShannon entropyChebyshev functionalmajorization inequalityCsiszár \(f\)-divergencenew Green functions\(n\)-convex functionsFink identity

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) Other analytical inequalities (26D20)

Related Items (5)

Unifications of continuous and discrete fractional inequalities of the Hermite-Hadamard-Jensen-Mercer type via majorization ⋮ Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional ⋮ Estimation of divergence measures on time scales via Taylor's polynomial and Green's function with applications in \(q\)-calculus ⋮ Some improvements of Jensen's inequality via 4-convexity and applications ⋮ New entropic bounds on time scales via Hermite interpolating polynomial

Cites Work

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