Some New Classes of Preinvex Functions and Inequalities

Abstract

In this article, we introduce some new class of preinvex functions involving two arbitrary auxiliary functions. We derive some new integral inequalities for these classes of preinvex functions. We also discuss some special cases which can be deduced from our main results.

Keywords

• convex function
• preinvex function
• Hermite–Hadamard inequality
• Holder’s inequality and power-mean inequality