Hermite-Hadamard type inequalities for operator geometrically convex functions II

TL;DR

This paper extends Hermite-Hadamard inequalities to operator geometrically convex functions within non-commutative operator settings, providing new bounds and inequalities.

Contribution

It introduces Hermite-Hadamard type inequalities specifically for operator geometrically convex functions in non-commutative contexts, advancing the theory of operator convexity.

Findings

Established new Hermite-Hadamard inequalities for operator geometrically convex functions.

Extended classical inequalities to the non-commutative operator setting.

Provided theoretical bounds for operator convex functions.

Abstract

In this paper, we prove some Hermite-Hadamard type inequalities for operator geometrically convex functions for non-commutative operators. Keywords: Operator geometrically convex function, Hermite-Hadamard inequality.