Koch曲线的Hausdorff测度的改进上界估计  

An Improved Upper Bound Estimation for Hausdorff Measure of Koch Curve

作　　者：郭东亮 GUO Dong-liang(School of Electronics and Communication Engineering,Sun Yat-sen University,Guangzhou 510006,China)

机构地区：[1]中山大学电子与通信工程学院

出　　处：《云南师范大学学报（自然科学版）》2020年第1期34-37,共4页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：广东省自然科学基金资助项目（2018B0303110016）

摘　　要：通过构造更加精细的新覆盖,得到新覆盖与Koch曲线的交集对应的连通弧,并利用相关定理计算出Koch曲线的Hausdorff测度更好的上界估计值.By constructing more fine new coverage,the connected arcs corresponding to the intersection of the new coverage and Koch curve are obtained.The Hausdorff measure of Koch curve is calculated by using the relevant theorem,and better upper bound estimation is obtained.

关 键 词：分形 KOCH曲线 HAUSDORFF测度 上界估计 

分 类 号：O174.12[理学—数学]