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

نویسنده

  • Amos Ron
چکیده

Approximation orders of shift-invariant subspaces of L p (IR d), 2 p 1, 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 reenements. The general results are specialized to box spline spaces, to obtain new results on their approximation orders.

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تاریخ انتشار 1993