数学杂志2008,Vol.28Issue(1):15-20,6.
Engel展式误差和函数的若干性质
THE ERROR-SUM FUNCTION OF ENGEL-CONTINUED FRACTION
沈陆明 1张继宏 2周建军1
作者信息
- 1. 湖南农业大学理学院,湖南,长沙,410128
- 2. 武汉大学数学与统计学院,湖北,武汉,430072
- 折叠
摘要
Abstract
In this paper, we consider the error-sum function of Engel-continued fraction. By the mathematical analysis method, we get the continuity and the intermediate value theorem of this kind of function. As a conseqence, the graph of this function is a fractal.关键词
Engel展式/误差和函数/连续性/界值定理Key words
Engel-continued fraction/error-sum function/continuity/intermediate value theorem分类
数理科学引用本文复制引用
沈陆明,张继宏,周建军..Engel展式误差和函数的若干性质[J].数学杂志,2008,28(1):15-20,6.