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.
@article{31452, title = {Some quantum $f$-divergence inequalities for convex functions of self-adjoint operators}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {37}, year = {2017}, doi = {10.5269/bspm.v37i1.31452}, language = {EN}, url = {http://dml.mathdoc.fr/item/31452} }
Taghavi, Ali; Darvish, Vahid; Nazari, Haji Mohammad; Dragomir, Silvestry Sever. Some quantum $f$-divergence inequalities for convex functions of self-adjoint operators. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i1.31452. http://gdmltest.u-ga.fr/item/31452/