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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Truncation error bounds for limit periodic continued fractions


Authors: W. J. Thron and Haakon Waadeland
Journal: Math. Comp. 40 (1983), 589-597
MSC: Primary 30B70; Secondary 41A45
MathSciNet review: 689475
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Abstract: We derive a truncation error bound for limit periodic continued fractions $ K({a_n}/l)$ which, at least asymptotically, is best possible by comparsion with periodic continued fractions. For a given limit periodic continued fraction the bound is easy to compute.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1983-0689475-9
PII: S 0025-5718(1983)0689475-9
Article copyright: © Copyright 1983 American Mathematical Society