Improvements of Jensen's inequality and its converse for strongly convex functions with applications to strongly \(f\)-divergences

DOI10.1016/J.JMAA.2023.127866MaRDI QIDQ6542899

Slavica Ivelić Bradanović

Publication date: 23 May 2024

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

zbMATH Keywords

Jensen's inequalityKullback-Leibler divergencestrongly convex functionsJessen's inequalityCsiszár \(f\)-divergencestrongly \(f\)-divergences

Mathematics Subject Classification ID

Functions of one variable (26Axx) Communication, information (94Axx) Inequalities in real analysis (26Dxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• A new quantum \(f\)-divergence for trace class operators in Hilbert spaces
• On the converse Jensen inequality
• Bemærkninger om konvekse Funktioner og Uligheder imellem Middelværdier. I, II.
• Remarks on strongly convex functions
• Zipf-Mandelbrot law, \(f\)-divergences and the Jensen-type interpolating inequalities
• On the converse Jensen inequality for strongly convex functions
• On Jensen-McShane's inequality
• On Jessen's inequality for convex functions
• Convex functions, partial orderings, and statistical applications
• On the Jensen functional and strong convexity
• $f$ -Divergence Inequalities
• Bounds for the normalised Jensen functional
• Some Inequalities for (m, M)-Convex Mappings and Applications for the Csiszár Φ-Divergence in Information Theory
• Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences
• On Strongly Convex Functions and Related Classes of Functions
• ON A GLOBAL UPPER BOUND FOR JESSEN’S INEQUALITY

Related Items (2)

Strong \(\mathcal{F}\)-convexity and concavity and refinements of some classical inequalities ⋮ Generalized Jensen and Jensen-Mercer inequalities for strongly convex functions with applications

This page was built for publication: Improvements of Jensen's inequality and its converse for strongly convex functions with applications to strongly \(f\)-divergences

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6542899)