节点文献
Sierpinski垫片一个新的Hausdorff覆盖
A NEW ESTIMATING HAUSDORFF MEASURE OF SIERPINSKI GASKET
【摘要】 通过构造Sierpinski垫片含有多整数参数的覆盖序列 ,利用Sierpinski垫片的自相似性以及以相关参数为序数指标 ,得到Sierpinski垫片的Hausdorff测度的较好上界 ;并以此为基础构造凸集进行覆盖 ,得到了更好的上界估计
【Abstract】 Through considering some sequences of subsets of Sierpinski gasket, constructing a covering sequence covering every individual subset of this sequence of subsets with some integer paremeters and utilizing the self-similarity of Sierpnski gasket,we get a upper boundary sequence of Hausdorff measure.Then using the convex set to cover the Sierpinski Gasket, we obtain the better upper bounded.
【关键词】 Sierpinski垫片;
自相似集;
Hausdorff维数;
Hausdorff测度;
凸集;
【Key words】 Sierpinski gasket; self-similar set; hausdorff measure and dimension; convex se?;
【Key words】 Sierpinski gasket; self-similar set; hausdorff measure and dimension; convex se?;
【基金】 湖北省教委科学研究计划资助
- 【文献出处】 荆州师范学院学报 ,Journal of Jingzhou Teachers College , 编辑部邮箱 ,2000年05期
- 【分类号】O189.2
- 【被引频次】3
- 【下载频次】29