An Inequality for Twice Differentiable Convex Functions and Applications for the Shannon and Rényi's Entropies

DOI10.5036/MJIU.32.19zbMath0974.26008OpenAlexW2130717888MaRDI QIDQ2709725

Sever Silvestru Dragomir

Publication date: 7 December 2001

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5036/mjiu.32.19

zbMATH Keywords

Jensen's inequalityconvex functionsmean valuesShannon's entropyRényi's entropy

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)

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Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial ⋮ A simple Duality Proof for Quadratically Constrained Entropy Functionals and Extension to Convex Constraints

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