New Refinements of Some Inequalities Involving Relative Operator Entropy

Soleimani S.; Ghazanfari A. G.

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New Refinements of Some Inequalities Involving Relative Operator Entropy

机译：涉及相对运营商熵的一些不等式的新改进

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摘要

In this paper, we give some new lower and upper bounds for relative operator entropy. Making use of them, we present new refinements of some known inequalities involving relative operator entropy.

机译：在本文中，我们为相对运营商熵提供了一些新的下限和上限。利用它们，我们呈现出一些已知的不等式涉及相对操作员熵的新改进。

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来源
《Complex analysis and operator theory》 |2019年第7期|共9页
作者
Soleimani S.; Ghazanfari A. G.;
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作者单位

Lorestan Univ Dept Math POB 465 Khorramabad Iran;

Lorestan Univ Dept Math POB 465 Khorramabad Iran;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Relative operator entropy; Operator inequalities; Operator means;

机译：相对运营商熵;操作员不等式;操作员手段;

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专利

1. New Refinements of Some Inequalities Involving Relative Operator Entropy [J] . Soleimani S., Ghazanfari A. G. Complex analysis and operator theory . 2019,第7期

机译：涉及相对运营商熵的一些不等式的新改进
2. Inequalities for relative operator entropy in terms of Tsallis’ entropy [J] . S. S. Dragomir Asian-European journal of mathematics . 2019,第4期

机译：关于Tsallis'熵的相对运营商熵的不等式
3. Operator inequalities associated with relative operator entropies [J] . Ghaemi Mohammad Bagher, Gharakhanlu Nahid, Furuichi Shigeru Advances in Inequalities and Applications . 2015,第1期

机译：与相对算子熵相关的算子不等式
4. Inequalities involving the second order variational distance and the relative entropy [C] . Alencar, M.S., Assis, . 1998

机译：涉及二阶变分距离和相对熵的不等式
5. A PRIORI INTEGRAL INEQUALITIES AND L(,P) ESTIMATES FOR POSITIVE LINEAR OPERATORS AND ELLIPTIC DIFFERENTIAL OPERATORS [D] . CROCKER, THOMAS QUINN HAYES -1

机译：正线性算子和椭圆微分算子的先验积分不等式和L（，P）估计
6. Characterizations of matrix and operator-valued Φ-entropies and operator Efron–Stein inequalities [O] . Hao-Chung Cheng, Min-Hsiu Hsieh -1

机译：矩阵和算子值Φ熵的特征以及算子Efron-Stein不等式
7. Reverse inequalities involving two relative operator entropies and two relative entropies (Advanced Study of Applied Functional Analysis and Information Sciences) [O] . Furuta Takayuki 2005

机译：涉及两个相对算子熵和两个相对熵的逆不等式（应用功能分析和信息科学高级研究）

New Refinements of Some Inequalities Involving Relative Operator Entropy

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