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 。
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.
基金
湖北省教委科学研究计划资助
