Localization of the generalized sampling series and its numerical application

被引：12

作者：

Qian, LW ^{[1
]}

Creamer, DB ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Computat Sci, Singapore 117543, Singapore

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2006年 / 43卷 / 06期

关键词：

localization; generalized sampling series; error estimate; Gaussian; Meyer wavelets;

D O I：

10.1137/04061845X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the localization of the sampling series with general kernel and obtain its error estimates. To achieve exponentially decaying accuracy for the series to approximate a band-limited function and its derivatives, a sufficient condition is given and a rigorous criterion is provided for the sampling to obtain any desired accuracy. The result includes several known results as special cases and gives new results about wavelet sampling series.

引用

页码：2500 / 2516

页数：17

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