On Hermite-Hadamard type inequalities associated with the generalized fractional integrals

Abstract

In this paper, we obtain new generalization of Hermite-Hadamard inequalitiesvia generalized fractional integrals defined by Sarikaya and Ertu\u{g}ral in \cite{sarikaya}. We establish some midpoint and trapezoid type inequalitiesfor functions whose first derivatives in absolute value are convex involvinggeneralized fractional integrals.