Inequalities for relative operator entropy in terms of Tsallis' entropy

被引：0

作者：

Dragomir, S. S. ^{[1
,2
]}

机构：

[1] Victoria Univ, Math, Coll Engn & Sci, POB 14428, Melbourne, Vic 8001, Australia

[2] Univ Witwatersrand, DST NRF Ctr Excellence Math & Stat Sci, Sch Comp Sci & Appl Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 12卷 / 04期

关键词：

Inequalities for logarithm; relative operator entropy; operator entropy;

D O I：

10.1142/S1793557119500633

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain new inequalities for relative operator entropy S(A \ B) in terms of Tsallis' relative entropy T +/- t (A \ B), t > 0 in the case of positive invertible operators A, B. Further bounds for B >= A are also provided.

引用

页数：22

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