Generalizations of Levinson type inequalities via new Green functions with applications to information theory

DOI10.1186/s13660-023-03040-xOpenAlexW4387253871MaRDI QIDQ6182493

Đilda Pečarić, Josip E. Pečarić, Awais Rasheed, Khuram Ali Khan

Publication date: 21 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-023-03040-x

zbMATH Keywords

Green functionsCsiszár divergenceLevension's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51) Information theory (general) (94A15) Other analytical inequalities (26D20)

Cites Work

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• Generalization of an inequality of Ky Fan
• Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
• Approximating discrete probability distributions with dependence trees

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