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Shannon Type Inequalities for Kapur’s Entropy

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

Mathematics, 2018, vol. 7, issue 1, 1-8

Abstract: 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.

Keywords: Kapur’s entropy; Shannon type inequality; Schur m -convexity; majorization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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