Shannon Type Inequalities for Kapur’s Entropy

Bo-Yan Xi; Dan-Dan Gao; Tao Zhang; Bai-Ni Guo; Feng Qi

doi:10.3390/math7010022

Mathematics (Dec 2018)

Shannon Type Inequalities for Kapur’s Entropy

Bo-Yan Xi,
Dan-Dan Gao,
Tao Zhang,
Bai-Ni Guo,
Feng Qi

Affiliations

Bo-Yan Xi: College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China
Dan-Dan Gao: College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China
Tao Zhang: School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
Bai-Ni Guo: School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454010, China
Feng Qi: School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin 300387, China

DOI: https://doi.org/10.3390/math7010022
Journal volume & issue: Vol. 7, no. 1
p. 22

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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