FRACTIONAL SIMPSON LIKE TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS

Convexity inequalities are very important for fractional calculus and its efficiency in many applied sciences. This field has become increasingly popular and represents a powerful tool for estimating errors of quadrature formulas. In this paper, we seek to develop new four-point Simpson-type inequalities involving Riemenn-Liouville integral operators. To do this, we first propose a new integral identity. By using this identity we establish some new fractional Simpson like type inequalities for functions whose first derivatives are s-convex in the second sense. Some particular cases are also discussed. We provid at the end some applications to special means to demonstrate the effectiveness of our results.