连分数是度量数论、Diophantine逼近理论中一个十分重要的领域,其基本区间的长度在相关度量理论、维数研究中起到十分重要的作用.本文给出了连分数展式基本区间长度的比较关系.
The theory of continued fraction is an important topic in metric number theory and Diophantine approximation. The lengths of the fundamental intervals play an important role in relative research of metric number theory and dimension. This paper gives a result on the lengths of the fundamental intervals in continued fraction.