Characteristic approximation properties of quadratic irrationals

W. B. Jurkat and A. Peyerimhoff

International Journal of Mathematics and Mathematical Sciences, 1978, vol. 1, 1-18

Abstract:

Some characteristic approximation properties of quadratic irrationals are studied in this paper. It is shown that the limit points of the sequence δ n form a subset C ( x ) , and D ( x ) can be generated from C ( x ) in a relatively simple way. Another proof of Lekkerkerker's theorem is given using relations between δ n − 1 , δ n , δ n + 1 which are independent of x and n .

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:650498

DOI: 10.1155/S0161171278000472

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