Generalized s-convex function on fractal sets

Abstract

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.

12pages

References in corpus (1)

• Generalized Convex Functions and Some Inequalities on Fractal Sets