A New Upper Bound of Hausdorff Measure of the Product of the Cantor Set with Itself

被引：0

作者：

Deng, Juan ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON INFORMATION AND MANAGEMENT SCIENCES | 2009年 / 8卷

关键词：

Hausdorff measure; approximation algorithm; Inverse density; Upper bound;

D O I：

暂无

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

Let E be the product of the Middle Third Cantor set with itself we prove that the minimal value of the inverse density of a special class of balls can be attained,denoted by h(s)(E),which gives an upper bound of the Hausdorff measure of E in the nature of things. We also introduce an approximation method for calculating the exact value of h(s)(E). And then we get a new upper bound of the Hausdorff measure of E.

引用

页码：881 / 883

页数：3

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