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arxiv: 1405.0652 · v2 · pith:ELUQXPC6new · submitted 2014-05-04 · 🧮 math.AP

Generalized s-convex function on fractal sets

classification 🧮 math.AP
keywords generalizedalphaconvexfractalfunctionskindssetsapplications
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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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