THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR p-CONVEX FUNCTIONS IN HILBERT SPACE
Abstract
− In this paper, we introduce operator p-convex functions and establish some HermiteHadamard type inequalities in which some operator p-convex functions of positive operators in Hilbertspaces are involved
Keywords
− The Hermite-Hadamard inequality, p-convex functions, operator p-convex functions,selfadjoint operator, inner product space, Hilbert space