%0 Journal Article
%T Approximation results for $\alpha$-Rosen fractions
%A Cor Kraaikamp
%A Ionica Smeets
%J Uniform Distribution Theory
%D 2010
%I Mathematical Institute of the Slovak Academy of Sciences
%X 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 use $\alpha$-Rosen fractions to give a Haas-Series-typeresult about all possible good approximations for the $\alpha$ for which the Legendre constant is larger than the Hurwitz constant.
%K Rosen fractions
%K natural extensions
%K approximation quality
%U http://www.boku.ac.at/MATH/udt/vol05/no2/2KraSme10-2.pdf