Improved operator inequalities of some relative operative entropies

被引：14

作者：

Nikoufar, Ismail ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

来源：

POSITIVITY | 2020年 / 24卷 / 01期

关键词：

Operator inequalities; Generalized relative operator entropy; Operator geometric mean; Noncommutative perspective; PERSPECTIVES; CONCAVITY;

D O I：

10.1007/s11117-019-00680-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the lower and upper bound of the relative operator (alpha,beta)\-entropy. We refine and improve the lower and upper bound of the relative operator entropy and generalized relative operator entropy. As a consequence of our result, the bounds of the relative operator entropy announced by Fujii and Kamei will improve.

引用

页码：241 / 251

页数：11

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