Geodesic
data fitting by vector (V,f)-reproducing kernels
Mohammed-Najib Benbourhim1
1 Laboratoire MIP-UMR 5640, Université Paul Sabatier, UFR MIG, 118, route de Narbonne, F-31062 Toulouse Cedex 04, FRANCE
ESAIM. Proceedings, Tome 20 (2007), pp. 63-71.

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In this paper we propose a constructive method to build vector reproducing kernels. We define the notion of vector (V,f)-reproducing kernel and we prove that every vector reproducing kernel is a (V,f)-reproducing kernel. We study the minimal approximation by these (V,f)-reproducing kernels for different choices of V and f.
DOI : 10.1051/proc:072006

Mohammed-Najib Benbourhim 1

1 Laboratoire MIP-UMR 5640, Université Paul Sabatier, UFR MIG, 118, route de Narbonne, F-31062 Toulouse Cedex 04, FRANCE 
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     title = {data fitting by vector {(V,f)-reproducing} kernels},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc:072006},
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Mohammed-Najib Benbourhim. data fitting by vector (V,f)-reproducing kernels. ESAIM. Proceedings, Tome 20 (2007), pp. 63-71. doi : 10.1051/proc:072006. http://geodesic.mathdoc.fr/articles/10.1051/proc:072006/

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