General Results for Fractional Integral Inequalities Via New Class of Convex Function.

Abstract

In this work, we will present some new results allied with fractional integrals for twice-differentiable functions using new class of convex function and we will give some new applications along with some new definitions. For the development of these new integrals inequalities, we will use Holder integral inequality, Power Mean integral inequality, Holder- Iscan integral inequality and improved Power Mean integral inequality by using Riemann-Liouville fractional integral operator for new class of convex function. We will give some new inequalities for midpoint and trapezoid formula for new class of convex function. Hence, these new results will lead us to the generalization of prior results.