Multivariate approximation / V. Temlyakov (University of South Carolina, Steklov Institute of Mathematics, Moscow and Lomonosov Moscow State University)
This self-contained, systematic treatment of multivariate approximation begins with classical linear approximation, and moves on to contemporary nonlinear approximation. It covers substantial new developments in the linear approximation theory of classes with mixed smoothness, and shows how it is di...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2018.
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| Series: | Cambridge monographs on applied and computational mathematics ;
32. |
| Subjects: |
Table of Contents:
- Approximation of univariate functions
- Optimality and other properties of the trigonometric system
- Approximation of functions from anisotropic Sobolev and Nikol'skii classes
- Hyperbolic cross approximation
- The widths of classes of functions with mixed smoothness
- Numerical integration and approximate recovery
- Entropy
- Greedy approximation
- Sparse approximation.