Integral inequalities within the framework of generalized fractional integrals

In this work, a new generalized fractional integral is defined and studied, and different relationships (equalities and inequalities) are obtained, which have as particular cases several of those reported in the literature. Hermite-Hadamard type inequalities are obtained for different kinds of functions such as symmetric, convex symmetric, Wright-quasi-convex and h -symmetrized convex.