Refinements of discrete and integral Jensen inequalities with Jensen's gap

DOI10.1007/s00010-023-01006-4OpenAlexW4387517954MaRDI QIDQ6130591

László Horváth

Publication date: 3 April 2024

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-023-01006-4

zbMATH Keywords

refinementHölder's inequality\(f\)-divergencesquasi-arithmetic meansdiscrete and integral Jensen inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• Theory of statistical inference and information. Transl. from the Slovak by the author
• Properties of some functionals related to Jensen's inequality
• Bounds for the normalised Jensen functional
• On Divergences and Informations in Statistics and Information Theory
• A refinement and an exact equality condition for the basic inequality of f-divergences
• Convex Analysis
• Convex functions and their applications. A contemporary approach

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