Constructive Approximation by (V,f)-Reproducing Kernels
TOULOUSE-3 UNIV (FRANCE)
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In this paper we propose a constructive method to build reproducing kernels. We define the notion of V, f-reproducing kernel, and prove that every 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. Examples to which our results apply include curve and surface fitting.
- Numerical Mathematics
- Theoretical Mathematics