Improvements of Jensen's inequality and its converse for strongly convex functions with applications to strongly \(f\)-divergences
From MaRDI portal
Publication:6542899
DOI10.1016/J.JMAA.2023.127866MaRDI QIDQ6542899
Publication date: 23 May 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Jensen's inequalityKullback-Leibler divergencestrongly convex functionsJessen's inequalityCsiszár \(f\)-divergencestrongly \(f\)-divergences
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)
