On the rate of convergence of orthorecursive expansions over non-orthogonal wavelets

被引：1
|
作者：
Kudryavtsev, A. Yu. [1 ]
机构：
[1] Moscow State Inst Int Relat, Moscow, Russia
来源：
IZVESTIYA MATHEMATICS | 2012年 / 76卷 / 04期
关键词：
orthorecursive expansion; wavelets; Parseval's identity; greedy algorithm; rate of convergence; computational stability; Faber-Schauder system;
D O I：
10.1070/IM2012v076n04ABEH002602
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider orthorecursive expansions (a generalization of orthogonal series) over families of non-orthogonal wavelets formed by the dyadic dilations and integer shifts of a given function phi. We estimate the rate of convergence of such expansions under some fairly relaxed restrictions on phi and give examples of these estimates in some concrete cases.
引用
收藏
页码：688 / 701
页数：14
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