Trigonometric approximation by deferred Voronoi-Nörlund and by deferred Riesz means in the weighted space \(L_w^p\) (Q6579348)
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scientific article; zbMATH DE number 7887457
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trigonometric approximation by deferred Voronoi-Nörlund and by deferred Riesz means in the weighted space \(L_w^p\) |
scientific article; zbMATH DE number 7887457 |
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Trigonometric approximation by deferred Voronoi-Nörlund and by deferred Riesz means in the weighted space \(L_w^p\) (English)
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25 July 2024
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The author determines the degrees of normwise approximation of functions belonging to the \(\mathrm{Lip}(\alpha,p,\omega)\) space with modules of continuity of the considered functions defined by their Lebesgue points. Some results as particular cases are derived. The results obtained in this paper generalize several results obtained previously by other authors.
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Fourier series
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deferred Voronoi-Nörlund transformation
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degree of approximation
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modulus of continuity
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Lipschitz class
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