On Weighted Average Interpolation with Cardinal Splines

被引：0
|
作者：
Lopez-Salazar, J. [1 ]
Perez-Villalon, G. [1 ]
机构：
[1] Univ Politecn Madrid, Escuela Tecn Super Ingn & Sistemas Telecomunicac, Madrid, Spain
来源：
ACTA APPLICANDAE MATHEMATICAE | 2017年 / 152卷 / 01期
关键词：
spline; cardinal interpolation; average sampling; SHIFT-INVARIANT SPACES; RECONSTRUCTION; SUBSPACES; SAMPLES;
D O I：
10.1007/s10440-017-0112-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a sequence of data with polynomial growth and an odd number , Schoenberg proved that there exists a unique cardinal spline of degree with polynomial growth such that for all . In this work, we show that this result also holds if we consider weighted average data , whenever the average function satisfies some light conditions. In particular, the interpolation result is valid if we consider cell-average data with . The case of even degree is also studied.
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页码：73 / 82
页数：10
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