%0 Journal Article
%T Characteristic approximation properties of quadratic irrationals
%A W. B. Jurkat
%A A. Peyerimhoff
%J International Journal of Mathematics and Mathematical Sciences
%D 1978
%I Hindawi Publishing Corporation
%R 10.1155/s0161171278000472
%X Some characteristic approximation properties of quadratic irrationals are studied in this paper. It is shown that the limit points of the sequence    ¡än 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    ¡än ¡é   ¡¯1,    ¡än,    ¡än+1 which are independent of x and n.
%K quadratic irrationals
%K approximation of numbers
%K badly approximable numbers.
%U http://dx.doi.org/10.1155/S0161171278000472