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Error estimates for Clenshaw-Curtis quadrature

✍ Scribed by R. D. Riess; L. W. Johnson

Publisher: Springer-Verlag
Year: 1971
Tongue: English
Weight: 371 KB
Volume: 18
Category: Article
ISSN: 0029-599X
DOI: 10.1007/bf01404685

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We consider the problem of integrating a function f : [-1, l] -+ R which has an analytic extension f to an open disk Dr of radius r and center the origin, such that If(z)] 5 1 for any z E d,. The goal of this paper is to study the minimal error among all algorithms which evaluate the integrand at t