Radial Base Functions: Lp-approximation Orders with Scattered Centres

Abstract

In this paper we generalize several results on uniform approximation orders with radial basis functions in (Buhmann, Dyn and Levin, 1993) and (Dyn and Ron, 1993) to Lp-approximation orders. These results apply, in particular, to approximates from spaces spanned by translates of radial basis functions by scattered centers. Examples to which our results apply include quasi- interpolation and least-squares approximation from radial function spaces.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA274682

Entities

People

  • Amos Ron
  • Martin D. Buhmann

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Coefficients
  • Convolution
  • Error Analysis
  • Errors
  • Exponential Functions
  • Fourier Series
  • Identities
  • Inequalities
  • Integrals
  • Interpolation
  • Military Research
  • North Carolina
  • Notation
  • Polynomials
  • Sequences
  • Standards
  • Three Dimensional

Readers

  • Approximation Theory.
  • Linear Algebra

Technology Areas

  • Space