Complex-analytic approach to the sinc-Gauss sampling formula

被引：16

作者：

Tanaka, Ken'ichiro ^{[1
]}

Sugihara, Masaaki ^{[1
]}

Murota, Kazuo ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Informat Sci & Technol, Dept Math Informat, Tokyo 1138656, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2008年 / 25卷 / 02期

关键词：

sampling formula; sinc-Gaussian kernel; sinc numerical methods;

D O I：

10.1007/BF03167520

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with theoretical error estimates for a sampling formula with the sinc-Gaussian kernel. Qian et al. have recently given an error estimate for the class of band-limited functions by Fourier-analytic approach. In contrast, we adopt in this paper a complex-analytic approach to derive an error estimate for a wider class of functions including unbounded functions on R. Part of the result of Qian et al. can be derived from ours as an immediate corollary. Computational results show a fairly good agreement with our theoretical analysis.

引用

页码：209 / 231

页数：23

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