Simpson-Type Inequalities for Conformable Fractional Operators Concerning Twice-Differentiable Functions

The authors of the paper propose a new method of investigation of an an equality for the case of twice-differentiable convex functions with respect to the conformable fractional integrals. With the help of this equality, we establish several Simpson-type inequalities for twice-differentiable convex functions by using conformable fractional integrals. Sundry significant inequalities are obtained by taking advantage of the convexity, the H¨older inequality, and the power mean inequality. By using the specific selection of our results, we give several new and well-known results in the literature.