On the degree of approximation to periodic functions by a trigonometric spline convolution operator (Q581795)
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scientific article; zbMATH DE number 4129396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the degree of approximation to periodic functions by a trigonometric spline convolution operator |
scientific article; zbMATH DE number 4129396 |
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On the degree of approximation to periodic functions by a trigonometric spline convolution operator (English)
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1989
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The author defines a trigonometrie spline convolution operator \(\sigma_ n^ m(f,x)\) and shows that for \(f\in C_{2\pi}\), \(\sigma_ h^ m(f;x)\to f(x)\) uniformly on R as mh\(\to 0\) and \((m+1)h<\pi\), where \(w_ f\) denotes the modulus of continuity of f.
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trigonometrie spline convolution operator
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modulus of continuity
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