Rate of pointwise approximation of functions by the Cesàro \((C, \beta )\)-means of their Fourier series (Q650273)
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scientific article; zbMATH DE number 5980663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rate of pointwise approximation of functions by the Cesàro \((C, \beta )\)-means of their Fourier series |
scientific article; zbMATH DE number 5980663 |
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Rate of pointwise approximation of functions by the Cesàro \((C, \beta )\)-means of their Fourier series (English)
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25 November 2011
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Let \(x_0\in \mathbb{R}^m\). The author investigates the relationship between the smoothness of a function \(f\) at the point \(x_0\) and the behaviour of the Cesàro means \(f\) of the Fourier series of \(f\) at \(x_0\).
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Pointwise approximation of a function
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smoothness of a function
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Fourier series
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Cesàro means
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Dirichlet kernel
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0.91278553
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0.90906185
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