A new refinement of Jensen's inequality with applications in information theory
type: Item
instance of: scholarly article
title: A new refinement of Jensen's inequality with applications in information theory
zbMATH Open document ID: 1483.26020
author: Lei Xiao
author: Guoxiang Lu
published in: Open Mathematics
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 7435588
zbMATH Keywords: refinements
zbMATH Keywords: Jensen inequality
zbMATH Keywords: information theory
zbMATH Keywords: Shannon entropy
zbMATH Keywords: \(f\)-divergences
zbMATH Keywords: bounds
MaRDI profile type: Publication
full work available at URL: math-2020-0123
OpenAlex ID: W3124133676
cites work: A refinement of Jensen's inequality with applications for \(f\)-divergence measures
cites work: A new refinement of Jensen's inequality in linear spaces with applications
cites work: A method to refine the discrete Jensen's inequality for convex and mid-convex functions
cites work: Estimations of \(f\)- and Rényi divergences by using a cyclic refinement of the Jensen's inequality
cites work: Best possible global bounds for Jensen's inequality
cites work: Jensen's inequality and new entropy bounds
cites work: A refinement of the discrete Jensen's inequality
cites work: A new entropy upper bound
cites work: Weighted form of a recent refinement of the discrete Jensen's inequality
cites work: On a Lower Bound for the Jensen Inequality
cites work: Refinement of the Jensen integral inequality
cites work: Improved Jensen's inequality
cites work: New refinements of Jensen's inequality and entropy upper bounds
cites work: New estimates for Csiszár divergence and Zipf-Mandelbrot entropy via Jensen-Mercer's inequality
cites work: Elements of Information Theory
cites work: Q5539510
cites work: Q3686615
cites work: On Information and Sufficiency
cites work: An invariant form for the prior probability in estimation problems
DOI: 10.1515/MATH-2020-0123
description: scientific article; zbMATH DE number 7435588