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
收藏
页码：376 / 381
页数：6
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