Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities

In this paper, the author introduced the concept of generalized harmonically convex function on fractal sets \(Rα(0<α≤1)\) of real line numbers and established generalized Hermite-Hadamard's inequalities for generalized harmonically convex function. Then, by creating a local fractional integral identity, obtained some Hermite-Hadamard type inequalities of these classes of functions.