Some generalized fractional integral Simpson’s type inequalities with applications

Abstract

In the article, we establish a Simpson-type generalized identity containing multi-parameters and derive some new estimates for the generalized Simpson’s quadrature rule via the Raina fractional integrals. As applications, we provide several inequalities for the f -divergence measures and probability density functions.

Keywords

• simpson’s inequality
• cumulative distribution function
• fractional integral
• f -divergence measure