Hermite-Hadamard type inequalities for generalized Riemann-Liouville fractional integrals of h-convex functions

摘要

In this paper, we establish some Hermite-Hadamard type inequalities for the Generalized Riemann-Liouville fractional integrals I(a+g)(alpha)f and I(b-g)(alpha)f, where g is a strictly increasing function on (a,b), having a continuous derivative on (a, b) and under the assumption that the composite function fog(-1) is h-convex on (g (a), g (b)). Some applications for Hadamard fractional integrals and s-Godunova-Levin type convex functions are also provided.