α-Rosen分数的近似结果
Approximation Results for alpha-Rosen Fractions
摘要:
本文利用几何方法将Borel关于正则连分数展开的经典近似结果推广到α-Rosen分数展开。我们给出了一个哈斯系列型的结果,所有可能的良好的近似的α勒让德常数大于赫维茨常数。
英文摘要:
In this article we generalize Borel's classical approximation results for the regular continued fraction expansion to the alpha-Rosen fraction expansion, using a geometric method. We give a Haas-Series-type result about all possible good approximations for the alpha for which the Legendre constant is larger than the Hurwitz constant.
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