Maclaurin-type inequalities for Riemann-Liouville fractional integrals

Abstract

In the present article, an equality is established by using the wellknown Riemann-Liouville fractional integrals. With the aid of this equality, some Euler-Maclaurin-type inequalities are given in the case of differentiable convex functions. Moreover, we give an example using graphs in order to show that our main result is correct.

Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes

“…In [12], the results were applied to provide some error estimates for the Simpson 3/8 quadrature rules. In paper [13], several Euler-Maclaurintype inequalities were considered for the case of differentiable convex functions. Moreover, in paper [14], several Euler-Maclaurin-type inequalities were established using the Riemann-Liouville fractional integrals.…”