New midpoint type inequalities for generalized fractional integral

Document Type : Research Paper


Department of Mathematics,Faculty of Science and Arts, D¨uzce University, D¨uzce,Turkey.


In this paper, we first establish two new identities for differentiable function involving generalized fractional integrals. Then, by utilizing these equalities, we obtain some midpoint type inequalities involving generalized fractional integrals for mappings whose derivatives in absolute values are convex. We also give several results as special cases of our main results.