Multivariate Approximation

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.