OPTIMAL APPROXIMATION BY CONTINUED FRACTIONS

被引：6

作者：

BOSMA, W ^{[1
]}

KRAAIKAMP, C ^{[1
]}

机构：

[1] UNIV AMSTERDAM,FAK WISKUNDE INFORMAT,1018 TV AMSTERDAM,NETHERLANDS

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1991年 / 50卷

基金：

澳大利亚研究理事会;

关键词：

CONTINUED FRACTIONS; DIOPHANTINE APPROXIMATION;

D O I：

10.1017/S1446788700033036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Among all possible semiregular continued fraction expansions of an irrational number the one with the best approximation properties, in a well-defined and natural sense, is determined. Some properties of this so called optimal continued fraction expansion are described.

引用

页码：481 / 504

页数：24

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