The exact error of trigonometric interpolation for differentiable functions (Q1185198)
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scientific article; zbMATH DE number 37845
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The exact error of trigonometric interpolation for differentiable functions |
scientific article; zbMATH DE number 37845 |
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The exact error of trigonometric interpolation for differentiable functions (English)
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28 June 1992
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The characteristic of a sequence of trigonometric interpolation operators expresses the order of trigonometric approximation as a function \(D\) of the Lipschitz parameter. This was introduced and studied by \textit{G. Halász} (see the above review). Here the author proves that the properties given by Halász completely characterize the function \(D\).
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trigonometric polynomials
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order of convergence
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trigonometric interpolation operators
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trigonometric approximation
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characteristic
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