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arXiv · 0912.1749

Approximation Results for alpha-Rosen Fractions

Cor Kraaikamp·Ionica Smeets
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Abstract

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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Cor Kraaikamp, Ionica Smeets. 2009-12-09. Approximation Results for alpha-Rosen Fractions. https://arxiv.org/abs/0912.1749

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