Bounds for Csiszár divergence and hybrid Zipf‐Mandelbrot entropy

DOI10.1002/mma.5858zbMath1434.26054OpenAlexW2967630982MaRDI QIDQ5214962

Đilda Pečarić, Muhammad Adil Khan, Josip E. Pečarić

Publication date: 5 February 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5858

zbMATH Keywords

convex functionsJensen inequalityCsiszár divergenceSlater inequalityhybrid Zipf-Mandelbrot entropy

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Information theory (general) (94A15)

Related Items (9)

Refinements of Jensen's and McShane's inequalities with applications ⋮ New estimates for Csiszár divergence and Zipf-Mandelbrot entropy via Jensen-Mercer's inequality ⋮ New improvements of Jensen's type inequalities via 4-convex functions with applications ⋮ Unnamed Item ⋮ New refinement of the Jensen inequality associated to certain functions with applications ⋮ Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence ⋮ Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial ⋮ A new bound for the Jensen gap pertaining twice differentiable functions with applications ⋮ Entropy results for Levinson-type inequalities via Green functions and Hermite interpolating polynomial

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