On the rate of almost everywhere convergence of certain classical integral means. II (Q1963952)
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scientific article; zbMATH DE number 1398584
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rate of almost everywhere convergence of certain classical integral means. II |
scientific article; zbMATH DE number 1398584 |
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On the rate of almost everywhere convergence of certain classical integral means. II (English)
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19 March 2000
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In this sequel to previous work of \textit{A. Stokolos} and \textit{W. Trebels} [J. Approximation Theory 98, No. 2, 203-222 (1999; preceding review)] we indicate at the example of the Gauss-Weierstrass and the Abel-Poisson means the sharpness of some results obtained there. This is achieved by modifying methods of \textit{K. I. Oskolkov} [Mat. Sbornik, N. Ser. 103(145), 563-589 (1977; Zbl 0371.41008)] and \textit{A. A. Solyanik} [Ph.D. Thesis, Odessa (1986)] developed for the periodic case.
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Gauss-Weierstrass means
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integral means
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moduli of continuity
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rate of almost everywhere convergence
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counterexamples
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Hardy spaces
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Abel-Poisson means
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0.8504135012626648
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0.8486802577972412
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