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A geometrical approach to approximations by continued fractions

Published online by Cambridge University Press:  09 April 2009

H. G. Kopetzky  and
F. J. Schnitzer
H. G. Kopetzky
Affiliation:
Institut für Mathematik und Angewandte Geometrie Montanuniversität LeobenA-8700 Leoben, Austria
F. J. Schnitzer
Affiliation:
Institut für Mathematik und Angewandte Geometrie Montanuniversität LeobenA-8700 Leoben, Austria
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Abstract

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By simple geometrical considerations new proofs for some classical results are given and also new theorems about approximation by continued fractions are derived. This geometrical approach presents an instructive visualisation of the nature of proximation theorems.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 43 , Issue 2 , October 1987 , pp. 176 - 186
Copyright
Copyright © Australian Mathematical Society 1987

References

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