Approximation on anisotropic Besov classes with mixed norms by standard information

被引：20

作者：

Fang, GS

Hickernell, FJ

Li, H

机构：

[1] IIT, Dept Appl Math, Chicago, IL 60616 USA

[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

[3] Hong Kong Baptist Univ, Peking Univ Hong Kong Baptist Univ, Dept Math, Joint Res Inst Appl Math, Kowloon, Hong Kong, Peoples R China

来源：

JOURNAL OF COMPLEXITY | 2005年 / 21卷 / 03期

基金：

中国国家自然科学基金;

关键词：

information-based complexity; exact order; interpolation; optimal recovery;

D O I：

10.1016/j.jco.2005.01.001

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This article considers the approximation problem on periodic functions of anisotropic Besov classes with mixed norms using standard information. The asymptotic decay rates of the best algorithms in the worst-case setting are determined. An interpolating algorithm that attains this decay rate is given as well. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：294 / 313

页数：20

共 31 条

[1]

Babenko K.I., 1986, FDN NUMERICAL ANAL

[2]

CIARLET PG, 1975, STUD MATH, V53, P277

[3] Besov regularity for elliptic boundary value problems [J].