How the type of convexity of the core function affects the Csiszár f-divergence functional

DOI10.7153/mia-2021-24-39zbMath1468.26007arXiv2101.02934OpenAlexW3157215600MaRDI QIDQ4991594

Mohsen Kian

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02934

zbMATH Keywords

perspective functionCsiszár \(f\)-divergenceconvexity and joint convexitynumerical mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions of several variables, generalizations (26B25)

Related Items (1)

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Cites Work

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• Convex solutions of a functional equation arising in information theory
• The Hermite-Hadamard type inequality of GA-convex functions and its application
• A characterization of mean values for Csiszár's inequality and applications
• Generalized convexity and inequalities
• JENSEN TYPE INEQUALITIES FOR Q-CLASS FUNCTIONS
• Convexity according to the geometric mean
• On Pinsker's and Vajda's Type Inequalities for Csiszár's $f$-Divergences
• Convex functions and their applications. A contemporary approach

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