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.

Keywords

• riemann-liouville fractional integrals
• functions of bounded variation
• lipshitzian functions
• trapezoid type inequalities
• 26d15
• 26d10
• 26d07
• 26a33