paper

Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions

arXiv:1412.5958 · doi:10.15352/bjma/09-2-2

Abstract

In this paper we introduce operator preinvex functions and es- tablish a Hermite-Hadamard type inequality for such functions. We give an estimate of the right hand side of a Hermite-Hadamard type inequality in which some operator preinvex functions of selfadjoint operators in Hilbert spaces are involved. Also some Hermite-Hadamard type inequalities for the product of two operator preinvex functions are given.

arXiv admin note: substantial text overlap with arXiv:1306.0730