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

Some quantum \(f\)-divergence inequalities for convex functions of self-adjoint operators
Authors: Ali Taghavi; Vahid Darvish; Haji Mohammad Nazari; Silvestry Server Dragomir;

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

Abstract

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.

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Keywords

convex function, General theory of linear operators, quantum \(f\)-divergence, Convex function, 0102 Applied Mathematics, quantum f-divergence, QA1-939, self-adjoint bounded linear operator, trace inequality, School of Engineering and Science, Quantum $f$-divergence, Linear operator inequalities, Trace inequality, Self-adjoint bounded linear operator, Mathematics

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selected citations
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BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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