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Inequalities related to smoothness conditions and Fourier series - MaRDI portal

Inequalities related to smoothness conditions and Fourier series (Q1346283)

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scientific article; zbMATH DE number 736855
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Inequalities related to smoothness conditions and Fourier series
scientific article; zbMATH DE number 736855

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    Inequalities related to smoothness conditions and Fourier series (English)
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    7 December 1995
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    The author proves five theorems. He primarily investigates the equivalence among norms of different type, which include among others Littlewood-Paley and Beurling norms. He also studies smoothness conditions for Fourier series with monotone coefficients and the \(|C,\alpha|\)-summability of Fourier series.
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    absolute summability
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    Littlewood-Paley norm
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    Beurling norm
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    smoothness conditions
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    Fourier series with monotone coefficients
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    \(| C,\alpha|\)-summability
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