[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2018.26.3.349

INEQUALITIES FOR QUANTUM f-DIVERGENCE OF CONVEX FUNCTIONS AND MATRICES

Dragomir, Silvestru Sever (Mathematics, School of Engineering & Science Victoria University)

Publication Information

Korean Journal of Mathematics / v.26, no.3, 2018 , pp. 349-371 More about this Journal

Abstract

Some inequalities for quantum f-divergence of matrices are obtained. It is shown that for normalised convex functions it is nonnegative. Some upper bounds for quantum f-divergence in terms of variational and ${\chi}^2-distance$ are provided. Applications for some classes of divergence measures such as Umegaki and Tsallis relative entropies are also given.

Keywords

Selfadjoint bounded linear operators; Functions of matrices; Trace of matrices; Quantum divergence measures; Umegaki and Tsallis relative entropies;

Citations & Related Records

Reference

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