Generalized s-Convex Functions on Fractal Sets

Huixia Mo; Xin Sui

doi:10.1155/2014/254737

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Home > Journals > Abstr. Appl. Anal. > Volume 2014 > Issue SI04 > Article

2014 Generalized

s

-Convex Functions on Fractal Sets

Huixia Mo, Xin Sui

Abstr. Appl. Anal. 2014(SI04): 1-8 (2014). DOI: 10.1155/2014/254737

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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.

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Huixia Mo. Xin Sui. "Generalized $s$ -Convex Functions on Fractal Sets." Abstr. Appl. Anal. 2014 (SI04) 1 - 8, 2014. https://doi.org/10.1155/2014/254737