Convex inequalities and their applications to relative operator entropies

Autor:	Furuichi, Shigeru, Moradi, Hamid Reza, Dutta, Supriyo
Rok vydání:	2022
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	A considerable amount of literature in the theory of inequality is devoted to the study of Jensen's and Young's inequality. This article presents a number of new inequalities involving the log-convex functions and the geometrically convex functions. As their consequences, we derive the refinements for Young's inequality and Jensen's inequality. In addition, the operator Jensen's type inequality is also developed for conditioned two functions. Utilizing these new inequalities, we investigate the operator inequalities related to the relative operator entropy. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.04299 Zobrazit plný text záznamu View this record from Arxiv