Universal truncation error upper bounds in irregular sampling restoration

被引：4

作者：

Olenko, Andriy Ya. ^{[2
]}

Pogany, Tibor K. ^{[1
]}

机构：

[1] Univ Rijeka, Fac Maritime Studies, HR-51000 Rijeka, Croatia

[2] La Trobe Univ, Dept Math & Stat, Bundoora, Vic 3086, Australia

来源：

APPLICABLE ANALYSIS | 2011年 / 90卷 / 3-4期

关键词：

Whittaker-Kotel'nikov-Shannon sampling restoration formula; approximation/interpolation error level; Nikolskii-Placherel-Polya inequality; truncation error upper bound; irregular sampling; multidimensional sampling; ITERATIVE RECONSTRUCTION;

D O I：

10.1080/00036810903437754

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Universal (pointwise uniform and time shifted) truncation error upper bounds are presented in the Whittaker-Kotel'nikov-Shannon sampling restoration sum for Bernstein function class [image omitted] d , when the sampled functions decay rate is unknown. The case of multidimensional irregular sampling is discussed.

引用

页码：595 / 608

页数：14

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