On linear summation methods of Fourier-Laplace series (Q1385978)
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scientific article; zbMATH DE number 1149454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On linear summation methods of Fourier-Laplace series |
scientific article; zbMATH DE number 1149454 |
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On linear summation methods of Fourier-Laplace series (English)
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6 May 1998
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This paper deals with the problem of approximation by linear means of Fourier-Laplace series. The author proves two theorems related to an upper estimate of the Lebesgue function of such summation method. Using the estimates obtained, he gets necessary and sufficient conditions for any continuous function on the unit sphere in \(R^n\), \(n\geq 3\), to admit a uniform approximation by linear means of its Fourier-Laplace expansion.
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linear mean of Fourier-Laplace series
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Lebesgue function
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0.9792777
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0.9624871
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0.9465471
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0.9441009
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0.9437043
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