Laurent-Padé approximants to four kinds of Chebyshev polynomial expansions. II. Clenshaw-Lord type approximants (Q1773068)
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scientific article; zbMATH DE number 2161184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Laurent-Padé approximants to four kinds of Chebyshev polynomial expansions. II. Clenshaw-Lord type approximants |
scientific article; zbMATH DE number 2161184 |
Statements
Laurent-Padé approximants to four kinds of Chebyshev polynomial expansions. II. Clenshaw-Lord type approximants (English)
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25 April 2005
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This paper is a continuation of the researches of the above mentioned authors. The four Chebyshev polynomial types , \(T_n(x),U_n(x),V_n(x)\) and \(W_n(x)\), of degree \(n\) are bases of series. A Clenshaw-Lord Padé-Chebyshev approximant \(\sum' p_r \phi_r /\sum' q_r \phi_r \) to a given function series \(\sum' c_t \phi_t \) is defined. Numerical examples are applied.
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Chebyshev series
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Laurent series
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Laurent-Padé approximants
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Chebyshev-Padé approximants
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Clenshaw-Lord approximants
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