Some Hermite-Hadamard's type local fractional integral inequalities for generalized γ-preinvex function with applications

In this article, we define and investigate the concept of generalized gamma-preinvex function on the Yang's fractal set R-xi (0 < xi < 1). Based on the auxiliary definitions and involving local fractional integrals, we established several generalizations of Hermite-Hadamard type inequalities under certain conditions. Additionally, we discuss some examples to test our outcomes and some applications in the form of bounds for generalized rth moment of a continuous random variable.