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A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function. (English) Zbl 1090.41011
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.

41A55 Approximate quadratures
Full Text: DOI
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