{"title":"Generalized Operator Shannon Entropy and Related Operator Inequalities","authors":"Ismail Nikoufar, Kenjiro Yanagi","doi":"10.1007/s40995-023-01510-x","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"47 4","pages":"1379 - 1384"},"PeriodicalIF":1.4000,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-023-01510-x","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
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.
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
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