The hermite-hadamard type inequalities for operator s-convex functions

TL;DR

This paper introduces operator s-convex functions and establishes Hermite-Hadamard type inequalities involving these functions on positive operators in Hilbert spaces.

Contribution

It presents the concept of operator s-convex functions and derives new Hermite-Hadamard inequalities for positive operators.

Findings

Established Hermite-Hadamard inequalities for operator s-convex functions

Extended convexity concepts to operator functions in Hilbert spaces

Provided new bounds for positive operators using s-convexity

Abstract

In this paper we introduce operator s-convex func- tions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.