Weighted Ostrowski, trapezoid and midpoint type inequalities for RiemannLiouville fractional integrals

Abstract

Our first aim is to establish two new identities for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain some new weighted versions of fractional trapezoid and Ostrowski type inequalities. Moreover, we give some weighted fractional midpoint type inequalities as special cases.

Keywords

• trapezoid inequality
• ostrowski inequality
• fractional integral operators
• convex function
• concave function