Shannon Type Inequalities for Kapur’s Entropy

Shannon Type Inequalities for Kapur’s Entropy

In the paper, by methods of the theory of majorization, the authors establish the Schur m-convexity and Shannon type inequalities for Kapur’s entropy.

Bibliographic Details
Main Authors: Bo-Yan Xi, Dan-Dan Gao, Tao Zhang, Bai-Ni Guo, Feng Qi
Format: Article
Language:English
Published: MDPI AG 2018-12-01
Series:Mathematics
Subjects:
Kapur’s entropy
Shannon type inequality
Schur m-convexity
majorization
Online Access:http://www.mdpi.com/2227-7390/7/1/22
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spelling doaj-fce66fb6e83a43788815169d56bfb7782020-11-24T23:03:48ZengMDPI AGMathematics2227-73902018-12-01712210.3390/math7010022math7010022Shannon Type Inequalities for Kapur’s EntropyBo-Yan Xi0Dan-Dan Gao1Tao Zhang2Bai-Ni Guo3Feng Qi4College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, ChinaCollege of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, ChinaSchool of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, ChinaSchool of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, ChinaSchool of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, ChinaIn the paper, by methods of the theory of majorization, the authors establish the Schur m-convexity and Shannon type inequalities for Kapur’s entropy.http://www.mdpi.com/2227-7390/7/1/22Kapur’s entropyShannon type inequalitySchur m-convexitymajorization
collection DOAJ
language English
format Article
sources DOAJ
author Bo-Yan Xi
Dan-Dan Gao
Tao Zhang
Bai-Ni Guo
Feng Qi
spellingShingle Bo-Yan Xi
Dan-Dan Gao
Tao Zhang
Bai-Ni Guo
Feng Qi
Shannon Type Inequalities for Kapur’s Entropy
Mathematics
Kapur’s entropy
Shannon type inequality
Schur m-convexity
majorization
author_facet Bo-Yan Xi
Dan-Dan Gao
Tao Zhang
Bai-Ni Guo
Feng Qi
author_sort Bo-Yan Xi
title Shannon Type Inequalities for Kapur’s Entropy
title_short Shannon Type Inequalities for Kapur’s Entropy
title_full Shannon Type Inequalities for Kapur’s Entropy
title_fullStr Shannon Type Inequalities for Kapur’s Entropy
title_full_unstemmed Shannon Type Inequalities for Kapur’s Entropy
title_sort shannon type inequalities for kapur’s entropy
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2018-12-01
description In the paper, by methods of the theory of majorization, the authors establish the Schur m-convexity and Shannon type inequalities for Kapur’s entropy.
topic Kapur’s entropy
Shannon type inequality
Schur m-convexity
majorization
url http://www.mdpi.com/2227-7390/7/1/22
work_keys_str_mv AT boyanxi shannontypeinequalitiesforkapursentropy
AT dandangao shannontypeinequalitiesforkapursentropy
AT taozhang shannontypeinequalitiesforkapursentropy
AT bainiguo shannontypeinequalitiesforkapursentropy
AT fengqi shannontypeinequalitiesforkapursentropy
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