On Multivariate Adaptive Approximation\vspace*{.5pt}
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- 作者：Y. K. Hu ; K. A. Kopotun and X. M. Yu
- 关键词：Key words. Nonlinear approximation ; Approximation spaces ; Adaptive algorithms ; Piecewise polynomials ; Splines ; Besov spaces ; Degree of approximation ; Modulus of smoothness ; K ; Functionals. AMS Classification. 41A15 ; 41A17 ; 41A25 ; 41A27 ; 41A46 ; 41A63.
- 刊名：Constructive Approximation
- 出版时间：October 2000
- 出版年：2000
- 期刊代码：34_0176-4276
- 类别：bs
- 卷：16
- 期：3
- 页码：449-474
- 数据来源：sp
摘要
Recently, A. Cohen, R. A. DeVore, P. Petrushev, and H. Xu investigated nonlinear approximation in the space BV (R 2 ). They modified the classical adaptive algorithm to solve related extremal problems. In this paper, we further study the modified adaptive approximation and obtain results on some extremal problems related to the spaces V σ,p r (R d ) of functions of ``Bounded Variation" and Besov spaces B α (R d ).