Exact estimates of the rate of approximation of convolution operators (Q976199)
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scientific article; zbMATH DE number 5722076
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact estimates of the rate of approximation of convolution operators |
scientific article; zbMATH DE number 5722076 |
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Exact estimates of the rate of approximation of convolution operators (English)
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17 June 2010
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The present paper presents a method for establishing direct and strong converse inequalities in terms of \(K\)-functionals for convolution operators acting in homogeneous Banach spaces of multivariate functions. The method is based on the behavior of the Fourier transform of the kernel of the convolution operator.
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Convolution operators
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singular integral
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Trigonometric polynomial
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rate of convergence
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K-functional
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Fourier series
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