Abstract
We establish a result related to a theorem of de Boor and Jia [1]. Their theorem, in turn, corrected and extended a result of Fix and Strang [5] concerning controlled approximation. In our result, the approximating functions are not required to have compact support, but satisfy instead conditions on their behavior at ∞. Our theorem includes some recent results of Jackson [6] and is closely related to the work of Buhmann [2].
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Communicated by Carl de Boor
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Light, W.A., Cheney, E.W. Quasi-interpolation with translates of a function having noncompact support. Constr. Approx 8, 35–48 (1992). https://doi.org/10.1007/BF01208904
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DOI: https://doi.org/10.1007/BF01208904