Fractional midpoint-type inequalities for twice-differentiable functions

Fatih Hezenci, Martin Bohner, Huseyin Budak


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.


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