GENERALIZATIONS OF SIMPSON TYPE INEQUALITY FOR (α, m)-CONVEX FUNCTIONS

Abstract

Several scholars are interested in fractional operators with integral inequalities. Due to its characteristics and wide range of applications in science, engineering fields and artificial intelligence, fractional inequalities should be employed in mathematical investigate. In this paper, we establish the new identity for Caputo-Fabrizio fractional integral operator. By utilizing this identity the generalization of Simpson type inequality for (α, m)-convex functions via the Caputo-Fabrizio fractional integral operator. Furthermore, we also includes the applications to special means, q-digamma functions, Simpson formula, Matrix inequalities, Modified Bessel function and mind-point formula. These applications have given a new dimension to the scholars