On the approximation properties of Cesàro means of negative order of Walsh-Fourier series (Q1599247)
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scientific article; zbMATH DE number 1750337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the approximation properties of Cesàro means of negative order of Walsh-Fourier series |
scientific article; zbMATH DE number 1750337 |
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On the approximation properties of Cesàro means of negative order of Walsh-Fourier series (English)
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17 November 2002
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Some approximation properties of Cesàro \((C,-\alpha)\) means with \(0<\alpha<1\) of Walsh-Fourier series are given. A sufficient condition for the convergence of the means \(\sigma_n^{-\alpha} f\) to \(f\) in \(L_p\) norm \((1\leq p \leq \infty)\) is obtained. It is also shown that this condition cannot be improved in the case \(p=1\).
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Walsh functions
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Cesàro means
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approximation
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0.96847874
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0.96214914
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0.96028423
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0.95853305
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0.9445219
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0.9323424
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