Generalized Simpson-like type inequalities involving Riemann--Liouville fractional integrals and their applications

Abstract

We establish a Simpson-like  type identity and several Simpson-like  type  inequalities   for Riemann--Liouville fractional integrals. As applications, we apply the obtained results to special means of real numbers, an error estimate for Simpson-like quadrature formula, and  $q$-digamma function, respectively.