Abstract
We present a constructive generalization of Abel-Gontscharoff’s series expansion to higher dimensions. A constructive application to a problem of multivariate interpolation is also investigated. In addition, two algorithms for the constructing the basis functions of the interpolants are given.
| Original language | American English |
|---|---|
| Journal | Analysis in Theory and Applications |
| Volume | 21 |
| State | Published - 2005 |
Keywords
- Abel-Gontscharoff-Gould polynomial
- Abel-Gontscharoff’s Expansion Formula
- higher dimensional dot product annihilation coefficients.
- multivariate Abel- Gontscharoff interpolation
Disciplines
- Applied Mathematics
- Mathematics