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.
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页码：595 / 608
页数：14
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