J Austral Math Soc Ser A 43 pp176--186, 1987.

A Geometrical Approach to Approximations by Continued Fractions

H. G. Kopetzky and F. J. Schnitzer

(Received 4 March 1986)

Abstract

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 approximation theorems.

1980 AMS Subject Classification: 10F20

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Authors

H. G. Kopetzky
F. J. Scnitzer: Institut für Mathematik und Angewandte Geometrie, Montanuniversität Leoben, A-8700 Leoben, Austria.

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Last Modified: Wed Feb 26 16:48:07 2003