Bounds of the Hausdorff measure of the Koch curve

被引：10
作者：
Jia, Baoguo [1 ]
机构：
[1] Zhongshan Univ, Sch Math & Sci Comp, Dept Sci Computat & Comp Applicat, Guangzhou 510275, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hausdorff measure; self-similar set; Koch curve;
D O I：
10.1016/j.amc.2007.01.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of the idea of [Baoguo Jia, Bounds of Hausdorff measure of the Sierpinski gasket, Journal of Mathematical Analysis and Application, in press, doi:10.1016/jjmaa.2006.08.026] and the self-similarity of Koch curve, we obtain the lower and upper bounds of the Hausdorff measure of the Koch Curve, which can approach the Hausdorff measure of the Koch Curve infinitely. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：559 / 565
页数：7
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