On the Fractional Integral Inequalities for p-convex Functions

Abstract

Inequality theory is one of the major application areas of convexity. Nowadays, the introduction of novel generalizations of convexity has yielded considerable contributions in inequality theory. In this article, some applications of p-convexity via fractional calculus to this field is studied. The inequalities for Riemann-Liouville fractional integrals of p-convex functions are obtained. Also, the special cases of these results are presented and exemplified for some of p-convex functions.