## Abstract We consider the problem of approximately reconstructing a function __f__ defined on the surface of the unit sphere in the Euclidean space โ^__q__ +1^ by using samples of __f__ at scattered sites. A central role is played by the construction of a new operator for polynomial approximation
โฆ LIBER โฆ
Quasi-Interpolation on the 2-Sphere Using Radial Polynomials
โ Scribed by A.K. Kushpel; J. Levesley
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 166 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Polynomial approximation on the sphere u
โ
Frank Filbir; W. Themistoclakis
๐
Article
๐
2008
๐
John Wiley and Sons
๐
English
โ 219 KB
Limiting Values under Scaling of the Leb
โ
L. Bos; S. De Marchi
๐
Article
๐
1999
๐
Elsevier Science
๐
English
โ 152 KB
Regularity and Explicit Representation o
โ
Y.G. Shi
๐
Article
๐
1994
๐
Elsevier Science
๐
English
โ 272 KB
A necessary and sufficient condition of regularity of \((0,1, \ldots, m-2, m)\)-interpolation on the zeros of the Jacobi polynomials \(P_{n}^{(x, \beta)}(x)(\alpha, \beta \geqslant-1)\) in a manageable form is established. Meanwhile, the explicit representation of the fundamental polynomials, when t