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Mathematics of Computation

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Some polynomials for complex quadrature

Author: David K. Kahaner
Journal: Math. Comp. 25 (1971), 827-830
MSC: Primary 65D30
MathSciNet review: 0298941
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Abstract: Equal-weight Chebyshev quadrature is not generally used because the nodes become complex for large n. However, interest in these schemes remains because of recent work on minimal norm quadrature as well as schemes for doing real integrals of analytic functions by complex methods. This note presents some properties of these Chebyshev quadratures that may be of interest to other researchers in this area. Proofs are sketched to save space.

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Keywords: Numerical quadrature, Chebyshev quadrature, complex quadrature
Article copyright: © Copyright 1971 American Mathematical Society