Walsh series analysis of the L2-discrepancy of symmetrisized point sets

被引：35

作者：

Larcher, G ^{[1
]}

Pillichshammer, F ^{[1
]}

机构：

[1] Univ Linz, Inst Anal & Numer, A-4040 Linz, Austria

来源：

MONATSHEFTE FUR MATHEMATIK | 2001年 / 132卷 / 01期

关键词：

digital nets; L-2-discrepancy; Walsh series analysis;

D O I：

10.1007/s006050170054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a method to estimate the L-2-discrepancy of symmetrisized point sets from above and from below with the help of Walsh series analysis. We apply the method to a class of two-dimensional net-type point sets, thereby generalizing results of Halton and Zaremba and of Proinov.

引用

页码：1 / 18

页数：18

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