On Pompeiu-Cebysev type inequalities for positive linear maps of selfadjoint operators in inner product spaces

Abstract

In this work, generalizations of some inequalities for continuous $h$-synchronous ($h$-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in Hilbert spaces are proved.

12 pages. arXiv admin note: substantial text overlap with arXiv:1708.06447