RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory

DOI10.1186/s13660-019-2166-8zbMath1499.26211OpenAlexW4229605350MaRDI QIDQ2067977

Muhammad Adeel, Đilda Pečarić, Khuram Ali Khan, Josip E. Pečarić

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2166-8

zbMATH Keywords

information theoryLevinson inequality

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Other analytical inequalities (26D20)

Cites Work

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• Superadditivity of the Levinson functional and applications
• Zipf-Mandelbrot law, \(f\)-divergences and the Jensen-type interpolating inequalities
• Refinement of Jensen's inequality and estimation of \(f\)- and Rényi divergence via Montgomery identity
• Theory of statistical inference and information. Transl. from the Slovak by the author
• Generalization of an inequality of Ky Fan
• Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
• $f$ -Divergence Inequalities
• On Choosing and Bounding Probability Metrics
• Generalization of Jensen's inequality by Lidstone's polynomial and related results
• Some new Ostrowski-type bounds for the Čebyšev functional and applications

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