Refined Estimations for Some Types of Entropies and Divergences

被引：0
|
作者：
Ismail Nikoufar
Mehdi Kanani Arpatapeh
机构：
[1] Payame Noor University,Department of Mathematics
来源：
Complex Analysis and Operator Theory | 2023年 / 17卷
关键词：
Shannon entropy; Tsallis entropy; Tsallis quasilinear entropy; Rényi entropy; Divergence; 46C05; 26D15;
D O I：
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学科分类号：
摘要：
In this paper, the improvements in the estimations of some entropies are of our interest. These improvements can also be done sequentially. We find some new and refined bounds for the Tsallis entropy, Tsallis quasilinear entropy, and Tsallis quasilinear divergence. The estimations for the Tsallis entropy are provided with respect to the Shannon entropy and Rényi entropy. We obtain some alternative refined bounds for the Tsallis relative operator entropy and we establish the significant refined relation between the Tsallis relative operator entropy and the generalized relative operator entropy.
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