Some polynomials for complex quadrature

Author:
David K. Kahaner

Journal:
Math. Comp. **25** (1971), 827-830

MSC:
Primary 65D30

DOI:
https://doi.org/10.1090/S0025-5718-1971-0298941-1

MathSciNet review:
0298941

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1971-0298941-1

Keywords:
Numerical quadrature,
Chebyshev quadrature,
complex quadrature

Article copyright:
© Copyright 1971
American Mathematical Society