Chebyshev approximation with respect to a weight function
โ Scribed by Charles B Dunham
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 567 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Inequalities of Jackson and Bernstein type are derived for polynomial approximation on simplices with respect to Sobolev norms. Although we cannot use orthogonal polynomials, sharp estimates are obtained from a decomposition into orthogonal subspaces. The formulas reflect the symmetries of simplices
In contrast to the complex case, the best Chebyshev approximation with respect to a finite-dimensional Haar subspace \(V \subset C(Q)\) ( \(Q\) compact) is always strongly unique if all functions are real valued. However, strong uniqueness still holds for complex valued functions \(f\) with a so-cal