Article
Approximation Results for Α-Rosen Fractions
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Abstract
In this article we generalize Borel’s classical approximation results for the regular continued fraction expansion to the α-Rosen fraction expansion, using a geometric method. We use α-Rosen fractions to give a Haas-Series-type result about all possible good approximations for the α for which the Legendre constant is larger than the Hurwitz constant.
Keywords
Rosen fractions, natural extensions, approximation quality.
Citation
Kraaikamp, C. & Smeets, I. (2010). Approximation results for α-rosen fractions. Uniform Distribution Theory, 5(2), 15–53.
C. Kraaikamp and I. Smeets, “Approximation results for α-rosen fractions,” Uniform Distribution Theory, vol. 5, no. 2, pp. 15–53, 2010.
Kraaikamp C, Smeets I. Approximation results for α-rosen fractions. Uniform Distribution Theory. 2010;5(2):15–53.
Kraaikamp, C. and Smeets, I. (2010), ‘Approximation results for α-rosen fractions’, Uniform Distribution Theory, 5(2), pp. 15–53.
Kraaikamp, Cor, and Ionica Smeets. “Approximation Results for Α-rosen Fractions.” Uniform Distribution Theory, vol. 5, no. 2, 2010, pp. 15–53.
Kraaikamp, Cor, and Ionica Smeets. “Approximation Results for Α-rosen Fractions.” Uniform Distribution Theory 5, no. 2 (2010): 15–53.
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Published by: Engineering Journals
