On asymptotic behavior of Battle-Lemarie scaling functions and wavelets

被引：6

作者：

Kim, Hong Oh

Kim, Rae Young ^{[1
]}

Ku, Ja Seung

机构：

[1] Yeungnam Univ, Dept Math, Gyeongsangbuk Do, Kyongsan 712749, South Korea

[2] Korea Adv Inst Sci & Technol, Div Appl Math, Taejon 305701, South Korea

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

B-spline; multiresolution analysis; Battle-Lemarie wavelet; Shannon wavelet; Euler-Frobenius polynomial;

D O I：

10.1016/j.aml.2006.04.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the 'centered' Battle-Lemarie scaling function and wavelet of order n converge in L-q (2 <= q <= S infinity), uniformly in particular, to the Shannon scaling function and wavelet as n tends to infinity. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：376 / 381

页数：6

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