Hermite-Hadamard Type Inequality for Functions whose Derivatives Absolute Values are Operator Quasi-Convex

Abstract

In this study, firstly the definition of operator quasi-convex function is given. Secondly, two new lemmas have been given and proven. Later new theorems are expressed and proved with the help of these lemmas. Finally, we obtained some inequalities of Hermite-Hadamard type for functions whose derivatives absolute values are operator quasi-convex.