Approximation of a function \(f\) belonging to Lipschitz class by Legendre wavelet method (Q2001768)
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scientific article; zbMATH DE number 7078988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of a function \(f\) belonging to Lipschitz class by Legendre wavelet method |
scientific article; zbMATH DE number 7078988 |
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Approximation of a function \(f\) belonging to Lipschitz class by Legendre wavelet method (English)
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11 July 2019
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The authors study wavelet approximation of a function \(f\) of Lipschitz class \(\mathrm{Lip}_\alpha[0,1], \ 0<\alpha\le 1\) using Legendre wavelet expansion. In particular, they obtain four new estimators (or wavelet approximations) of \(f\in \mathrm{Lip}_\alpha[0,1]\) under the norms \(\|\cdot\|_1\) and \(\|\cdot\|_2\). It has been found that the calculated estimators are best possible in wavelet analysis.
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Lipschitz class
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basic wavelet
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Legendre wavelet
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wavelet approximation
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Legendre wavelet expansion
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