Integral refinable operators exact on polynomials

被引：1
|
作者：
Gori, L. [2 ]
Pellegrino, E. [1 ]
Santi, E. [1 ]
机构：
[1] Univ Aquila, DIMEG, I-67040 Monteluco, AQ, Italy
[2] Univ Roma La Sapienza, Dip Me Mo Mat, I-00161 Rome, Italy
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 221卷 / 02期
关键词：
Refinable functions; B-bases; Integral operators;
D O I：
10.1016/j.cam.2007.10.046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study integral refinable operators of integral type exact on polynomials of even degree constructed by using refinable B-bases of GP type. We prove a general theorem of existence and uniqueness. Then we study the LP-norm of these operators and we give error bounds in approximating functions and their derivatives belonging to suitable classes. Numerical results and comparisons with other quasi-interpolatory operators having the same order of exactness on polynomial reproduction are presented. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：396 / 405
页数：10
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