Refinement and corrigendum of bounds of fractional integral operators containing Mittag-Leffler functions

Abstract

The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels. The presented results also provide refinements of already known bounds of different fractional integral operators for convex, m-convex, s-convex and (s, m)-convex functions. Moreover, the refinements of some known fractional versions of the Hadamard inequality are given.

Keywords

• convex function
• strongly convex function
• mittag-leffler function
• generalized fractionl integrals