A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function (Q1775597)
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scientific article; zbMATH DE number 2164841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function |
scientific article; zbMATH DE number 2164841 |
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A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function (English)
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4 May 2005
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There is given a method for the numerical calculation of integrals of the functions of the form \((1-x^2)^{\lambda-1/2}f(x)\). The method is based on approximation of the function \(f(x)\) by the Chebyshev expansions. Error bounds of the method are derived. An example illustrates the method.
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Numerical integration
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Gegenbauer weight-function
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Clenshaw-Curtis quadrature
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Chebyshev polynomials
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