Some new Hermite-Hadamard type inequalities for two operator convex functions

TL;DR

This paper introduces new Hermite-Hadamard type inequalities applicable to pairs of operator convex functions acting on selfadjoint operators in Hilbert spaces, expanding the theoretical framework of operator inequalities.

Contribution

It presents novel Hermite-Hadamard inequalities specifically for two operator convex functions, extending existing inequalities in operator theory.

Findings

New Hermite-Hadamard inequalities for operator convex functions

Extension of inequalities to pairs of functions and operators

Theoretical advancement in operator inequality literature

Abstract

In this paper we establish some new Hermite-Hadamard type inequalities for two operator convex functions of selfadjoint operators in Hilbert spaces.