Quasi-Monte Carlo integration in unanchored Sobolev spaces

被引：0

作者：

Fialova, Jana ^{[1
]}

机构：

[1] Slovak Acad Sci, Math Inst, SK-81473 Bratislava, Slovakia

来源：

MATHEMATICA SLOVACA | 2014年 / 64卷 / 05期

关键词：

QMC integration; squared worst-case QMC error; Hilbert space with reproducing kernel; unanchored Sobolev space; centered regular lattice; tent function;

D O I：

10.2478/s12175-014-0264-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find a concrete sequence of N points, for which the squared worst-case quasi-Monte Carlo error in the Hilbert space of continuous functions defined on [0, 1] with square integrable second derivative is smaller than for the centered regular lattice point set.

引用

页码：1135 / 1144

页数：10

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