Generalized Convex Functions and Some Inequalities on Fractal Sets
  In the paper, we introduce the generalized convex function on fractal sets of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen inequality and generalized Hermite-Hadamard inequality. Furthermore,some applications are given. 
Huixia Mo, Xin Sui, Dongyan Yu
math.CA