Generalized Operator Shannon Entropy and Related Operator Inequalities

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2023-08-16 DOI:10.1007/s40995-023-01510-x

Ismail Nikoufar, Kenjiro Yanagi

引用次数: 0

Abstract

In this paper, we investigate a notion of the relative operator entropy developing the theory started by Fujii and Kamei. We consider generalized operator Shannon entropy and give its upper and lower bounds under certain conditions. Our results generalize and extend various comparable results in the existing literature. As an application, we refine some inequalities concerning an inequality due to Furuta and a generalized operator version of Shannon inequality and its reverse one.

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广义算子香农熵与相关算子不等式

在本文中，我们研究了相对算子熵的概念，发展了由Fujii和Kamei开始的理论。考虑广义算子香农熵，给出了它在一定条件下的上界和下界。我们的结果概括和扩展了现有文献中各种可比较的结果。作为应用，我们改进了关于Furuta不等式的一些不等式，以及Shannon不等式的广义算子版及其逆算子版。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences