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Approximation by mediants


Author: Wieb Bosma
Journal: Math. Comp. 54 (1990), 421-434
MSC: Primary 11K50; Secondary 11J70
DOI: https://doi.org/10.1090/S0025-5718-1990-0995207-0
MathSciNet review: 995207
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Abstract | References | Similar Articles | Additional Information

Abstract: The distribution is determined of some sequences that measure how well a number is approximated by its mediants (or intermediate continued fraction convergents). The connection with a theorem of Fatou, as well as a new proof of this, is given.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1990-0995207-0
Keywords: Continued fractions, Diophantine approximation
Article copyright: © Copyright 1990 American Mathematical Society

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