Refinements of discrete and integral Jensen inequalities with Jensen’s gap-Reference-Cited by-同舟云学术

Refinements of discrete and integral Jensen inequalities with Jensen’s gap

Published:2023-10-11 Issue: Volume: Page:
ISSN:0001-9054
Container-title:Aequationes mathematicae
language:en
Short-container-title:Aequat. Math.

Author:

Horváth László

Abstract

AbstractMotivated by a paper of Dragomir, we give new refinements for both discrete and integral Jensen inequalities using the Jensen’s gap. As applications, we give refinements of various inequalities verifiable by Jensen’s inequality. Topics covered: norms, quasi-arithmetic means, Hölder’s inequality and f-divergences in information theory.

Funder

Hungarian National Research, Development and Innovation Office grant

University of Pannonia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00010-023-01006-4.pdf

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