Chebyshev quadrature rules for a new class of weight functions

Authors:
Paul F. Byrd and Lawrence Stalla

Journal:
Math. Comp. **42** (1984), 173-181

MSC:
Primary 65D32

MathSciNet review:
725992

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Abstract: Proof is given that the weight functions on (0, 1) admit Chebyshev quadratures for any fixed , and every *N*. For the particular cases when and , the nodes are tabulated to ten decimal places for *N*-point rules with , and 12. Numerical tables are also given for a coefficient in the expression of the error term.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1984-0725992-1

Keywords:
Quadrature rules

Article copyright:
© Copyright 1984
American Mathematical Society