Minkowski Content Analysis of Sierpinski Gasket and Von Koch Curve

被引：0

作者：

Zeng, Yu ^{[1
,2
]}

Zhang, Jine ^{[3
]}

机构：

[1] Hubei Univ Technol, Sch Sci, Wuhan 430068, Peoples R China

[2] Huazhong Univ Sci & Technol, Inst Syst Engn, Wuhan 430074, Peoples R China

[3] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Peoples R China

来源：

2013 INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND TECHNOLOGY (ICIST) | 2013年

关键词：

TRACES;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study Minkowski contents of Sierpinski gasket and Von Koch curve. Some properties of two sets are given firstly. Then by adopting a new method, we calculate the upper Minkowski content and the lower Minkowski content of Sierpinski gasket respectively. We also deduce the good estimation formulae of Von Koch curve's upper Minkowski content and lower the lower Minkowski content. The results show that the upper Minkowski content is not equal to the lower Minkowski content in both kinds of sets. That is, their Minkowski contents do not exist and therefore are not Minkowski measurable.

引用

页码：146 / 149

页数：4