A refinement and an exact equality condition for the basic inequality of f-divergences

DOI10.2298/FIL1812263HzbMath1499.26120OpenAlexW2942499166MaRDI QIDQ5087811

László Horváth, Đilda Pečarić, Josip E. Pečarić

Publication date: 1 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1812263h

zbMATH Keywords

Jensen inequalityShannon entropy\(f\)-divergenceinequalities for \(f\)-divergence

Mathematics Subject Classification ID

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

Related Items (2)

Refinements of discrete and integral Jensen inequalities with Jensen's gap ⋮ Refinements of the integral Jensen's inequality generated by finite or infinite permutations

Cites Work

• Theory of statistical inference and information. Transl. from the Slovak by the author
• Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
• $f$ -Divergence Inequalities
• On Divergences and Informations in Statistics and Information Theory
• Information theoretic inequalities
• Convex Analysis
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