一类自相似集在顶点处上凸密度的上界估计

利用了最好形状的定义，上凸密度的定义与一个重要性质，开集条件及自相似集的自相似结构对一类cantor集自乘积在其顶点处的上凸密度上限进行了较好的估计。并将所得结论应用到了一个具体的cantor集自乘积的上凸密度上限估计的实例上。

The Estimation of Upper Bound for the Upper Convex Density at a Vertex in a Kind of Self-similar Set

In the study of fractal geometry,the upper convex density offers the theory and the implement to the research on the structure of the self-similar fractals for us.In this paper,a better estimation for upper bound of the upper convex density at a vertex in a kind of Cartesian product of the cantor set with itself is gotten by using the definition of the best shape,the definition and an important property of the upper convex density,the open condition and the self-similar construction of the self-similar sets...