Fractional midpoint-type inequalities for twice-differentiable functions

Abstract

In this research article, we obtain an identity for twice differentiablefunctions whose second derivatives in absolute value are convex. By usingthis identity, we prove several left Hermite--Hadamard-type inequalities forthe case of Riemann--Liouville fractional integrals. Furthermore, we provideour results by using special cases of obtained theorems.