Fourier coefficients of functions in the Besov-Nikolskii class (Q1425530)
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scientific article; zbMATH DE number 2061526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourier coefficients of functions in the Besov-Nikolskii class |
scientific article; zbMATH DE number 2061526 |
Statements
Fourier coefficients of functions in the Besov-Nikolskii class (English)
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21 March 2004
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The author establishes necessary and sufficient conditions for some smooth function to belong to the Besov-Nikolskii class [\textit{M. K. Potapov} and \textit{B. V. Simonov}, Fund. Prikl. Mat. 1, No. 2, 455--469 (1995; Zbl 0872.42002)]. These conditions are expressed via the Fourier coefficients of this function.
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functions of Besov-Nikolskii class
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Fourier coefficients
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0.9246583
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0.91922325
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0.9178815
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