Trigonometric series of Nikol'skii classes (Q879219)
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scientific article; zbMATH DE number 5150252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trigonometric series of Nikol'skii classes |
scientific article; zbMATH DE number 5150252 |
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Trigonometric series of Nikol'skii classes (English)
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8 May 2007
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In this paper the author studies neessary and sufficient conditions for functions \(f\) and \(g\) represented by trigonometric series with positive or general monotone coefficients to belong to the Nikolskii class. In particular, he obtains a result for the generalized Lipschitz class.
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trigonometric series
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Nikol'skii class
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Lipschitz class
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general monotone sequence
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