Approximation Orders of and Approximation Maps from Local Principal Shift-Invariant Spaces

Abstract

Approximation orders of shift-invariant subspaces generated by the shifts of one compactly supported function are considered. In that course, explicit approximation maps are constructed. The approach avoids quasi- interpolation and applies to stationary and non-stationary refinements. The general results are specialized to box spline spaces, to obtain new results on their approximation orders.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1993
Accession Number
ADA265038

Entities

People

  • Amos Ron

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Convergence
  • Errors
  • Exponential Functions
  • Fourier Analysis
  • Generators
  • Inequalities
  • Interpolation
  • Linear Algebra
  • North Carolina
  • Notation
  • Polynomials
  • Sequences
  • Stationary
  • Two Dimensional
  • United States
  • Universities
  • Wisconsin

Readers

  • Approximation Theory.

Technology Areas

  • Space