Approximation orders of formal Laurent series by Oppenheim rational functions

被引：6
|
作者：
Fan, AH [1 ]
Wu, J
机构：
[1] Wuhan Univ, Dept Math, Wuhan 430072, Hubei, Peoples R China
[2] Univ Picardie, LAMFA, CNRS, UMR 6140, F-80039 Amiens, France
来源：
JOURNAL OF APPROXIMATION THEORY | 2003年 / 121卷 / 02期
关键词：
finite field; Laurent series; Oppenheim convergents; approximation; Hausdorff dimension;
D O I：
10.1016/S0021-9045(02)00064-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study formal Laurent series which are better approximated by their Oppenheim convergents. We calculate the Hausdorff dimensions of sets of Laurent series which have given polynomial or exponential approximation orders. Such approximations are faster than the approximation of typical Laurent series (with respect to the Haar measure). (C) 2003 Elsevier Science (USA). All rights reserved.
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页码：269 / 286
页数：18
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