On polynomial “interpolation” in L1
✍ Scribed by Boris Shekhtman
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 174 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
Stimulated by recent work of Hakopian and Sahakian, polynomial interpolation to data at all the s-dimensional intersections of an arbitrary sequence of hyperplanes in R d is considered, and reduced, by the adjunction of an additional s hyperplanes in general position with respect to the given sequen
A necessary and sufficient condition for polynomials defined on some (proper or improper) linear manifolds on \(\mathbb{R}^{k}\) is given in order that they agree there with the traces of a polynomial on \(\mathbb{R}^{k}\) (see H. A. Hakopian and A. A. Sahakian, in "Abstracts, International Workshop
## Abstract Several representations for the interpolating polynomial exist: Lagrange, Newton, orthogonal polynomials, etc. Each representation is characterized by some basis functions. In this paper we investigate the transformations between the basis functions which map a specific representation t