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

✍ Scribed by H. V. Smith; D. B. Hunter


Publisher
Springer Netherlands
Year
2011
Tongue
English
Weight
318 KB
Volume
51
Category
Article
ISSN
0006-3835

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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