Sherman's and related inequalities with applications in information theory
type: Item
instance of: scholarly article
title: Sherman's and related inequalities with applications in information theory
zbMATH Open document ID: 1497.26028
author: N. E. Zubov
published in: Journal of Inequalities and Applications
publication date: 2021-12-15T00:00:00Z
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26D20
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 7445815
zbMATH Keywords: Sherman theorem
zbMATH Keywords: majorization inequality
zbMATH Keywords: Jensen inequality
zbMATH Keywords: Green function
zbMATH Keywords: Abel-Gontscharoff interpolating polynomial
zbMATH Keywords: \(n\)-convex function
zbMATH Keywords: entropy
zbMATH Keywords: information theory
zbMATH Keywords: \(\varphi\)-divergence
zbMATH Keywords: Zipf-Mandelbrot law
MaRDI profile type: Publication
full work available at URL: s13660-018-1692-0
OpenAlex ID: W2805897609
Wikidata QID: Q55480013
cites work: Convex functions, partial orderings, and statistical applications
cites work: Q5812325
cites work: On a Theorem of Hardy, Littlewood, Polya, and Blackwell
cites work: Inequalities: theory of majorization and its applications
cites work: Q4323301
cites work: Q5801644
cites work: Further reverse results for Jensen's discrete inequality and applications in information theory
cites work: A converse of the Jensen inequality for convex mappings of several variables and applications
cites work: An inequality for logarithms and applications in information theory.
cites work: Improvements of some bounds on entropy measures in information theory
cites work: On an inequality for the entropy of a probability distribution
cites work: Refinements of some bounds in information theory
cites work: Q4427601
cites work: Q3292859
cites work: Beyond the Zipf-Mandelbrot law in quantitative linguistics
cites work: Q4486979
cites work: Q5539510
cites work: Q4186205
cites work: Q3260839
cites work: On Information and Sufficiency
DOI: 10.1186/S13660-018-1692-0
description: scientific article; zbMATH DE number 7445815