Trigonometric approximation of functions in \(L_1\)-norm (Q2151147)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trigonometric approximation of functions in \(L_1\)-norm |
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Trigonometric approximation of functions in \(L_1\)-norm (English)
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30 June 2022
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The \(L_1\)-approximation of the functions \(f \in {\text{ Lip}}(\alpha,1)\), \(0<\alpha\leq 1\), by special trigonometric polynomials \(N_{n}(f;x)\) is established, which enables the approximation of the functions \(f \in {\text {Lip}}(\alpha,p)\), \(0<\alpha\leq 1\), \(1\leq p<\infty\), in the \(L_p\)-norm by trigonometric polynomials \(\sigma_{n}^{\beta}(f;x)\), \(\beta >0\).
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trigonometric approximation of functions
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\(L_1\) approximation of functions
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degree of approximation
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Cesàro-Norlund methods
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