Accession Number:

ADA265038

Title:

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

Descriptive Note:

Corporate Author:

WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s):

Report Date:

1993-05-01

Pagination or Media Count:

23.0

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE