摘要
本文研究了Engel展式误差和函数,运用数学分析方法,获得了误差和函数的连续性和界值定理,从而知道该函数的图像是一个分形图.
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.
出处
《数学杂志》
CSCD
北大核心
2008年第1期15-20,共6页
Journal of Mathematics
关键词
Engel展式
误差和函数
连续性
界值定理
Engel-continued fraction error-sum function
continuity
intermediate value theorem
