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The numerical evaluation of the error term in a quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight function

H. V. Smith, D. B. Hunter

BIT（2011）

Cited 2|Views8
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Abstract
method is derived for the numerical evaluation of the error term arising in a quadrature formula of Clenshaw-Curtis type for functions of the form (1-x^2)^λ - 1/2f(x) over the interval [−1,1]. The method is illustrated by an example.
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Key words
Gegenbauer quadrature,Clenshaw-Curtis quadrature,Chebyshev polynomials
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