Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications
Chunyan Luo, Tingsong Du
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.
Topics & Concepts
MathematicsType (biology)Riemann hypothesisQuadrature (astronomy)Pure mathematicsDigamma functionMathematical analysisCalculus (dental)Applied mathematicsArithmetic zeta functionPrime zeta functionEcologyElectrical engineeringDentistryEngineeringMedicineBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsApproximation Theory and Sequence Spaces