On the strong approximation by trigonometric interpolating polynomials (Q1343487)
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scientific article; zbMATH DE number 713636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the strong approximation by trigonometric interpolating polynomials |
scientific article; zbMATH DE number 713636 |
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On the strong approximation by trigonometric interpolating polynomials (English)
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23 July 1995
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The authors prove three theorems in connection with trigonometric interpolation for general strong de la Vallée Poussin means. Especially their second theorem is a very sharp result. Using the notations of the paper it reads as follows: Let \(0\leq m\leq n\leq [r/2]\). Then \[ \| V^{1,r}_{n, m}[f]\|\leq K \sum^ n_{\upsilon= 0} {E_{n- m+\upsilon}(f)\over m+ \upsilon+ 1}. \] {}.
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trigonometric interpolation
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strong de la Vallée Poussin means
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