Self-contained presentation of multivariate approximation from classical linear approximation to contemporary nonlinear approximation.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
V. Temlyakov is Carolina Distinguished Professor in the Department of Mathematics at the University of South Carolina. He has written several books on approximation theory, and has received numerous honours and awards. His research interests include greedy approximation, compressed sensing, learning theory and numerical integration.
Inhaltsangabe
1. Approximation of univariate functions 2. Optimality and other properties of the trigonometric system 3. Approximation of functions from anisotropic Sobolev and Nikol'skii classes 4. Hyperbolic cross approximation 5. The widths of classes of functions with mixed smoothness 6. Numerical integration and approximate recovery 7. Entropy 8. Greedy approximation 9. Sparse approximation Appendix. Classical inequalities References Index.
1. Approximation of univariate functions 2. Optimality and other properties of the trigonometric system 3. Approximation of functions from anisotropic Sobolev and Nikol'skii classes 4. Hyperbolic cross approximation 5. The widths of classes of functions with mixed smoothness 6. Numerical integration and approximate recovery 7. Entropy 8. Greedy approximation 9. Sparse approximation Appendix. Classical inequalities References Index.
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