An error estimate for continued fractions

Gill, John

doi:10.1090/S0002-9939-1986-0813813-1

An error estimate for continued fractions

Author: John Gill
Journal: Proc. Amer. Math. Soc. 96 (1986), 71-74
MSC: Primary 40A15; Secondary 30B70
DOI: https://doi.org/10.1090/S0002-9939-1986-0813813-1
MathSciNet review: 813813
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Abstract: New and improved truncation error bounds are derived for continued fractions $K({a_n}/1)$ , where ${a_n} \to 0$ . The geometrical approach is somewhat unusual in that it involves both isometric circles and fixed points of bilinear transformations.

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