GRUSS TYPE INEQUALITIES FOR FRACTIONAL INTEGRAL OPERATOR INVOLVING THE EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION

Abstract

One of the best ways to generalize known inequalities is to use fractional integral operators. The purpose of this paper is to obtain new generalizations of Gruss type inequalities using fractional integral operator containing an extended generalized Mittag-Leffler function in the kernel. We also consider a number of corollaries and consequences of the main results presented here. In the conclusion part, we have also emphasized the importance of our results in terms of applications in numerical integration and probability theory.