Saturation theorems for interpolation and the Bernstein-Schnabl operator (Q2701560)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Saturation theorems for interpolation and the Bernstein-Schnabl operator |
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Saturation theorems for interpolation and the Bernstein-Schnabl operator (English)
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19 February 2001
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box spline
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Bernstein-Schnabl operator
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saturation theorem
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The authors study properties of box spline operators: cardinal interpolation, convolution,and the Bernstein-Schnabl operator and prove the saturation theorems of them.The proof of the saturation theorem for the Bernstein-Schnabl operator is based on Pisier's inequality [see \textit{G. Pisier}, Probabilistic methods in the geometry of Banach spaces (1986; Zbl 0606.60008)].
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