Accession Number:

ADP011973

Title:

Constructive Approximation by (V,f)-Reproducing Kernels

Descriptive Note:

Conference paper

Corporate Author:

TOULOUSE-3 UNIV (FRANCE)

Personal Author(s):

• Benbourhim, Mohammed-Najib

Report Date:

2000-01-01

Pagination or Media Count:

8.0

Abstract:

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.

Descriptors:

• *KERNEL FUNCTIONS
• APPROXIMATION(MATHEMATICS)
• FRANCE
• HILBERT SPACE
• CURVE FITTING

Subject Categories:

• Numerical Mathematics
• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE