Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation

Abstract In this paper we establish some trapezoid type inequalities for the Riemann-Liouville fractional integrals of functions of bounded variation and of Hölder continuous functions. Applications for the g-mean of two numbers are provided as well. Some particular cases for Hadamard fractional integrals are also provided.