Hermite-Hadamard’s mid-point type inequalities for generalized fractional integrals

Some Hermite-Hadamard’s mid-point type inequalities related to Katugampola fractional integrals are obtained where the first derivative of considered mappings is Lipschitzian or convex. Also some mid-point type inequalities are given for Lipschitzian mappings, with the aim of generalizing the results presented in previous works. Finally, some generalized inequalities in connection with special means are provided.