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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.