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.
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页码：881 / 883
页数：3
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