On the (bi)infinite case of Shadrin's theorem concerning the \(L_{\infty}\)-boundedness of the \(L_{2}\)-spline projector (Q742274)
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scientific article; zbMATH DE number 6345599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the (bi)infinite case of Shadrin's theorem concerning the \(L_{\infty}\)-boundedness of the \(L_{2}\)-spline projector |
scientific article; zbMATH DE number 6345599 |
Statements
On the (bi)infinite case of Shadrin's theorem concerning the \(L_{\infty}\)-boundedness of the \(L_{2}\)-spline projector (English)
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18 September 2014
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\textit{A. Yu. Shadrin} in [Acta Math. 187, No. 1, 59--137 (2001; Zbl 0996.41006)] proved the de Boor conjecture. That is, he proved that the \(L_\infty\) norm of the \(L_2\)-spline projector is bounded independently of the knot sequence. In the present paper the author ties up some loose ends in Shadrin's remarkable proof.
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splines
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\(L_\infty\)-boundedness
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\(L_2\)-spline projector
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totally positive
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