Interpolation in spaces with given symmetries
β Scribed by N. M. Zobin; V. G. Zobina
- Publisher
- Springer US
- Year
- 1979
- Tongue
- English
- Weight
- 184 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
By using a norm generated by the error series of a sequence of interpolation polynomials, we obtain in this paper ~ertain Banach spaces. A relation between these spaces and the space (Co, S) with norm generated by the error series of the best polynomial approximations (minimax series) is established
Let s β₯ 1 be an integer, Ο s β be a compactly supported function, and S Ο denote the linear span of Ο β’ -k k β s . We consider the problem of approximating a continuous function f s β on compact subsets of s from the classes S Ο hβ’ , h > 0, based on samples of the function at scattered sites in s .