A NEW VERSION OF NEWTON’S INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS

Abstract

We establish some Newton’s type inequalities in the case of differentiable convex functions through the well-known Riemann–Liouville fractional integrals. Furthermore, we give an example with graph and present the validity of the newly obtained inequalities. Finally, we give some inequalities of Riemann–Liouville fractional Newton’s type for functions of bounded variation.