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

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. [ABSTRACT FROM AUTHOR]