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Approximation on the sphere using radial basis functions plus polynomials

โœ Scribed by Ian H. Sloan; Alvise Sommariva


Publisher
Springer
Year
2007
Tongue
English
Weight
461 KB
Volume
29
Category
Article
ISSN
1019-7168

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Polynomial approximation on the sphere u
โœ Frank Filbir; W. Themistoclakis ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 219 KB

## 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