Abstract
Recently, A. Cohen, R. A. DeVore, P. Petrushev, and H. Xu investigated nonlinear approximation in the space BV (R2). 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 Vrσ,p(Rd) of functions of "Bounded Variation" and Besov spaces Bα(Rd).
Original language | English |
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Pages (from-to) | 449-474 |
Number of pages | 26 |
Journal | Constructive Approximation |
Volume | 16 |
Issue number | 3 |
DOIs | |
State | Published - 2000 |
Keywords
- Adaptive algorithms
- Approximation spaces
- Besov spaces
- Degree of approximation
- K-functionals
- Modulus of smoothness
- Nonlinear approximation
- Piecewise polynomials
- Splines