Constructive Approximation by (V,f)-Reproducing Kernels

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011973

Entities

People

  • Mohammed-najib Benbourhim

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Convolution
  • Embedding
  • Hilbert Space
  • Identities
  • Interpolation
  • Numbers
  • Polynomials
  • Real Numbers
  • Technical Information Centers
  • Vector Spaces

Fields of Study

  • Computer science

Readers

  • Calculus or Mathematical Analysis
  • Graph Algorithms and Convex Optimization.