Inequalities related to some types of entropies and divergences

被引：4
|
作者：
Furuichi, Shigeru [1 ]
Minculete, Nicusor [2 ]
机构：
[1] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, 3-25-40 Sakurajyousui, Tokyo 1568550, Japan
[2] Transilvania Univ Bralov, Brasov 500091, Romania
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 532卷
关键词：
Shannon entropy; Divergence (relative entropy); Tsallis entropy; Renyi entropy; Biparametric extended entropy and biparametric extended divergence; MATHEMATICAL INEQUALITIES;
D O I：
10.1016/j.physa.2019.121907
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The aim of this paper is to discuss new results concerning some kinds of parametric extended entropies and divergences. As a result of our studies for mathematical properties on entropy and divergence, we give new bounds for the Tsallis quasilinear entropy and divergence by applying the Hermite-Hadamard inequality. We also give bounds for biparametric extended entropies and divergences which have been given in Furuichi (2010). In addition, we study (r, q)-quasilinear entropies and divergences as alternative biparametric extended entropy and divergence, and then we give bounds for them. Finally we obtain inequalities for an extended Lin's divergence and some characterizations of Fermi-Dirac entropy and Bose-Einstein entropy. (C) 2019 Elsevier B.V. All rights reserved.
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页数：17
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