Chebyshev wavelet approximation of functions having first derivative of Hölder's class (Q2107710)
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scientific article; zbMATH DE number 7626155
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chebyshev wavelet approximation of functions having first derivative of Hölder's class |
scientific article; zbMATH DE number 7626155 |
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Chebyshev wavelet approximation of functions having first derivative of Hölder's class (English)
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2 December 2022
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The Chebyshev wavelet approximations of a function \(f\) whose derivative belongs to the class \(H^{\alpha}[0,1]\), \(0<\alpha\leq 1\), are estimated. A method for solving differential equations based on the approximation by truncated Chebyshev wavelet series of the second kind is proposed. Numerical examples for the Lane-Emden and third-order pantograph non-linear differential equations are given.
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Chebyshev wavelet expansion
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wavelet approximation
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orthonormal basis
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