Generalized Simpson Type Inequalities Involving

Riemann–Liouville Fractional Integrals and Their Applications

Chunyan Luo a , Tingsong Du a,∗

Abstract. We establish a Simpson type identity and several Simpson 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 type quadrature formula, and q-digamma function, respectively.