HERMITE–HADAMARD TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH MITTAG-LEFFLER KERNEL FOR GENERALIZED PREINVEX FUNCTIONS.

In this paper, by using two local fractional integral operators with Mittag-Leffler kernel, we construct some new Hermite–Hadamard type and Hermite–Hadamard–Fejér type local fractional integral inequalities for generalized preinvex functions on Yang's fractal sets. Finally, three examples are proposed to illustrate the main results. Meanwhile, we also proposed an identity and a bounded estimate for the moments of random variables to illustrate the applications of the results. [ABSTRACT FROM AUTHOR]