Sharpening celebrated convex inequalities with applications to operators and entropies-Reference-Cited by-同舟云学术

Sharpening celebrated convex inequalities with applications to operators and entropies

Published:2023-09-30 Issue:10 Volume:35 Page:
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

Sababheh Mohammad¹^ORCID,Furuichi Shigeru²,Moradi Hamid Reza³

Affiliation:

1. Department of Basic Sciences, Princess Sumaya University for Technology, Amman, Jordan

2. Department of Information Science, College of Humanities and Sciences, Nihon University, Setagaya-ku, Tokyo, Japan

3. Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Abstract

The Jensen, Jensen–Mercer, and Hermite–Hadamard inequalities have been key in advancing convex inequalities for scalars and operators, with several applications in fields like mathematical physics, operator theory and mathematical inequalities. This paper presents a new argument leading to interesting refinements of these celebrated inequalities. Applications that include entropy and operator inequalities will be presented.

Funder

Japan Society for the Promotion of Science London

Publisher

World Scientific Pub Co Pte Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X23500319

Reference30 articles.

1. Weak majorization inequalities and convex functions

2. Matrix Analysis

3. Thermodynamic consistency of the q-deformed Fermi–Dirac distribution in nonextensive thermostatics

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