Fractional Simpson-Type Inequalities for Twice Differentiable Functions

Abstract

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.

Keywords

• simpson type inequalities
• twice differentiable convex functions
• riemann-liouville fractional integrals
• fractional calculus