Approximation Orders of and Approximation Maps from Local Principal Shift-Invariant Spaces
WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES
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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.
- Numerical Mathematics