New Inequalities for Preinvex Functions

Abstract

In this study, a new identity for functions defined on an open invex subset of set of real numbers isformed. After that we established Hermite-Hadamard-like inequalities for this type of functions. Then, byusing the this identity and the Hölder and Power mean integral inequalities we present new type integralinequalities for functions whose powers of fourth derivatives in absolute value are preinvex functions.