Abstract
In the present work, we introduce two new local fractional integral operators involving Mittag-Leffler kernel on Yang's fractal sets. Then, we study the related generalized Hermite-Hadamard-type inequality using generalized (E,h)-convexity and obtain two identities pertaining to these operators, and the respective first- and second-order derivatives are given. In terms of applications, we provide some new generalized trapezoid-type inequalities for generalized (E,h)-convex functions. Finally, some special cases are deduced for different values of d, E, and h.