Levinson-type inequalities via new Green functions and Montgomery identity

DOI10.1515/math-2020-0163zbMath1482.26051OpenAlexW3045487587MaRDI QIDQ2053403

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

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0163

zbMATH Keywords

information theoryLevinson inequalityMontgomery identity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20) Sampling theory in information and communication theory (94A20)

Related Items (3)

Extension of Montgomery identity via Taylor polynomial on time scales ⋮ Generalizations of Levinson type inequalities via new Green functions with applications to information theory ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermite-Hadamard type inequalities obtained via fractional integral for differentiable \(m\)-convex and \((\alpha, m)\)-convex functions
• New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity
• Refinement of Jensen's inequality and estimation of \(f\)- and Rényi divergence via Montgomery identity
• Convex functions, partial orderings, and statistical applications
• Theory of statistical inference and information. Transl. from the Slovak by the author
• Generalization of the Levinson inequality with applications to information theory
• Levinson type inequalities for higher order convex functions via Abel-Gontscharoff interpolation
• Estimation of \(f\)-divergence and Shannon entropy by Levinson-type inequalities via new Green's functions and Lidstone polynomial
• Generalization of an inequality of Ky Fan
• Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
• On some inequalities for s-convex functions and applications
• $f$ -Divergence Inequalities
• Generalized Levinson's inequality and exponential convexity
• Linear operators inequality for $n$-convex functions at a point
• On Choosing and Bounding Probability Metrics
• Hermite-Hadamard-Fejer type inequalities for s-convex function in the second sense via fractional integrals
• Generalization of Jensen's inequality by Lidstone's polynomial and related results
• Some new Ostrowski-type bounds for the Čebyšev functional and applications

This page was built for publication: Levinson-type inequalities via new Green functions and Montgomery identity