Some quantum $f$-divergence inequalities for convex functions of self-adjoint operators

Some quantum $f$-divergence inequalities for convex functions of self-adjoint operators

In this paper, some new inequalities for convex functions of self-adjoint operators are obtained. As applications, we present some inequalities for quantum $f$-divergence of trace class operators in Hilbert Spaces.

Bibliographic Details
Main Authors: Ali Taghavi, Vahid Darvish, Haji Mohammad Nazari, Silvestry Sever Dragomir
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Self-adjoint bounded linear operator
Trace inequality
Convex function
Quantum $f$-divergence
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31452

Internet

http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31452

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