Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity

Abstract

Abstract In this paper, we establish a new integral identity for n-times differentiable functions defined on an invex subset of ℝ. Hermite–Hadamard type integral inequalities for n-times differentiable preinvex functions are then established by using this identity and Hölder's inequality.