On the Generalization of Some Hermite-Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals

摘要

We provide a unified approach to getting Hermite-Hadamard inequalities for functions with convex absolute values of the second derivatives via the Riemann-Liouville integrals. Some particular inequalities generalizing the classical results, such as the trapezoid inequality, Simpson's inequality, and midpoint inequality are also presented.