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

Authors

  • Ali Taghavi University of Mazandaran Faculty of Mathematical Sciences Department of Mathematics http://orcid.org/0000-0001-6230-733X
  • Vahid Darvish University of Mazandaran Faculty of Mathematical Sciences Department of Mathematics
  • Haji Mohammad Nazari University of Mazandaran Faculty of Mathematical Sciences Department of Mathematics
  • Silvestry Sever Dragomir Victoria University Mathematics, School of Engineering and Science http://orcid.org/0000-0003-2902-6805

DOI:

https://doi.org/10.5269/bspm.v37i1.31452

Keywords:

Self-adjoint bounded linear operator, Trace inequality, Convex function, Quantum $f$-divergence

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.

Downloads

Published

2017-04-02

Issue

Vol. 37 No. 1 (2019)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Crossref
Scopus
Google Scholar
Europe PMC