Some polynomials for complex quadrature

Kahaner, David K.

doi:10.1090/S0025-5718-1971-0298941-1

Some polynomials for complex quadrature
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by David K. Kahaner PDF

Math. Comp. 25 (1971), 827-830 Request permission

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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