应用数学2011，Vol.24Issue(3)：641-644,4.
Engel连分数展式与Huasdorff维数
Engel Continued Fraction Expansion and Hausdorff Dimension
张振亮1
作者信息
- 1. 华中科技大学数学与统计学院,湖北武汉430074
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摘要
Abstract
In this paper,we study a exceptional set determined by partial quotients in its Engel continued fraction expansion and the set consisting of the points whose speed of convergence is faster than the "typical" points. By using the principle of mass distribution, we prove that the Hausdorff dimension of these sets are both one.关键词
Engel连分数展式/Huasdorff维数/收敛速度Key words
Engel continued fraction expansion/ Huasdorff dimension/ Speed of conven-gence分类
数理科学引用本文复制引用
张振亮..Engel连分数展式与Huasdorff维数[J].应用数学,2011,24(3):641-644,4.
