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

页码：559 / 565

页数：7

共 50 条

[1] On the lower bound of the Hausdorff measure of the Koch curve
Zhu, ZW
Zhou, ZL
Jia, BG
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2003, 19 (04) : 715 - 728
[2] On the Lower Bound of the Hausdorff Measure of the Koch Curve
Zhi Wei Zhu
Zuo Ling Zhou
Bao Guo Jia
Acta Mathematica Sinica, 2003, 19 : 715 - 728
[3] On the computing of the appoximate value of the Hausdorff measure of Koch curve
Xu, S.
Zeng, S.
Gongcheng Shuxue Xuebao/Chinese Journal of Engineering Mathematics, 2001, 18 (01): : 83 - 88
[4] The Hausdorff measure of the self-similar sets——The Koch curve
周作领
Science China Mathematics, 1998, (07) : 723 - 728
[5] The Hausdorff measure of the self-similar sets - The Koch curve
Zhou, ZL
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (07): : 723 - 728
[6] The Hausdorff measure of the self-similar setsThe Koch curve
Zuoling Zhou
Science in China Series A: Mathematics, 1998, 41 : 723 - 728
[7] The Hausdorff measure of the self-similar sets* - The Koch curve
Linnan College, Zhongshan University, Guangzhou 510275, China
Sci China Ser A, 7 (X6-728):
[8] The upper convex density and Hausdorff measure-the Koch curve
Zhu, Z.
Zhou, Z.
Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni, 2001, 40 (06): : 1 - 2
[9] Hausdorff measures of Koch curve and Sierpinski gasket
周作领
Progress in Natural Science, 1997, (04) : 19 - 24
[10] Hausdorff measures of Koch curve and Sierpinski gasket
Zhou, ZL
PROGRESS IN NATURAL SCIENCE, 1997, 7 (04) : 401 - 406

← 1 2 3 4 5 →