各向异性Sobolev类的表现与逼近

  • 蒋艳杰
展开
  • 华北电力大学,数理学院,河北,保定,071051

网络出版日期: 2008-07-25

Representation and Approximation of Anisotropic Sobolev Classes

  • JIANG Yan-jie
Expand

Online published: 2008-07-25

摘要

通过用一元小波的张量积构造多元小波,给出各向异性Sobolev函数空间的表现定理及小波逼近的渐近估计.

本文引用格式

蒋艳杰 . 各向异性Sobolev类的表现与逼近[J]. 河北大学学报(自然科学版), 2008 , 28(4) : 357 -359 . DOI: 10.3969/j.issn.1000-1565.2008.04.006

参考文献

[1] DEVORE R A, KONYAGIN S V, TEMLYAKOV V N. Hyperbolic wavelet approximation [J]. Constructive Approximation 1998, 14.
[2] Wang HP.. Representation and approximation of multivariate functions with mixed smoothness by hyperbolic wavelets [J]. Journal of Mathematical Analysis and Applications 2004, 2(2).
[3] TEML YAKOV V N. Universal bases and greedy algorthms for anisotropic function classes [J]. Constructive Approximation 2002, 18.
[4] Skopina M.. Wavelet approximation of periodic functions [J]. Journal of Approximation Theory 2000, 2(2).
[5] MEYER Y. Ondelettes et operateurs [M]. Hermann, Paris 1990.
文章导航

/

〈 〉