Geodesic
Quadrature-free quasi-interpolation on the sphere
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 101-114.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We construct certain quasi-interpolatory operators for approximation of functions on the sphere, using tensor product scattered data satisfying certain symmetry conditions. Our operators are constructed without using any quadrature formulas. We use instead a special class of orthonormal bivariate trigonometric polynomials.
Classification : 42A15, 65D32, 33C55
Keywords: function approximation on the sphere, scattered data, quasi-interpolation, Jacobi matrices 
@article{ETNA_2006__25__a26,
     author = {Ganesh, M. and Mhaskar, H.N.},
     title = {Quadrature-free quasi-interpolation on the sphere},
     journal = {Electronic transactions on numerical analysis},
     pages = {101--114},
     publisher = {mathdoc},
     volume = {25},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a26/}
}
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Ganesh, M.; Mhaskar, H.N. Quadrature-free quasi-interpolation on the sphere. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 101-114. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a26/