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On the Convergence Rates of Gauss and Clenshaw--Curtis Quadrature for Functions of Limited Regularity

โœ Scribed by Xiang, Shuhuang; Bornemann, Folkmar

Book ID
118182058
Publisher
Society for Industrial and Applied Mathematics
Year
2012
Tongue
English
Weight
248 KB
Volume
50
Category
Article
ISSN
0036-1429

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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