Generalized Csiszár's f-divergence for Lipschitzian functions

DOI10.7153/mia-2021-24-02zbMath1466.26019OpenAlexW3134463375MaRDI QIDQ4991553

Đilda Pečarić, Josip E. Pečarić, Dora Pokaz

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.7153/mia-2021-24-02

zbMATH Keywords

\(f\)-divergenceLipschitzian functionZipf-Mandelbrot law

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

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On a Jensen-type inequality for generalized f-divergences and Zipf-Mandelbrot law

Cites Work

• Two mappings in connection to Hadamard's inequalities
• Minimum Hellinger distance estimates for parametric models
• Some comparison theorems for the mean-value characterization of ``useful information measures
• Inequalities of Hadamard's type for Lipschitzian mappings and their applications
• Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
• On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions
• Markov Processes and the H-Theorem
• On Information and Sufficiency
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