Geodesic
Quadrature-free quasi-interpolation on the sphere
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 101-114
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},
     year = {2006},
     volume = {25},
     zbl = {1160.42301},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a26/}
}
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%A Mhaskar,  H.N.
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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/