On Fractional Integral Inequalities of Hermite–Hadamard Type

In this chapter, we present a review of some of the results we have obtained related to the classical Hermite–Hadamard, Simpson, and Milne inequalities, through the use of weighted integral operators, illustrating their scope and generality. In general, we use the notions of functions \((h,m)\) -convex of first and second type, the classical Hölder inequality, and the power mean inequality, among others. Throughout the work, we see that several results reported in the literature are particular cases of those presented here.