Fractional Simpson-Type Inequalities for Twice Differentiable Functions

In the literature, several papers are devoted to inequalities of Simpson-type in the case of differentiable convex functions and fractional versions. Moreover, some papers are focused on inequalities of Simpson-type for twice differentiable convex functions. In this research article, we obtain an identity for twice differentiable convex functions. Then, we prove several fractional inequalities of Simpson-type for convex functions.

Fractional Simpson-Type Inequalities for Twice Differentiable Functions Keywords:

Simpson type inequalities , Twice differentiable convex functions , Riemann-Liouville fractional integrals , Fractional calculus