Generalized s-convex function on fractal sets
  We introduce two kinds of generalized $s$-convex functions on real linear fractal sets $\mathbb{R}^{\alpha}(0<\alpha<1)$. And similar to the class situation, we also study the properties of these two kinds of generalized $s$-convex functions and discuss the relationship between them. Furthermore, some applications are given. 
Huixia Mo and Xin Sui
math.AP