Chebyshev quadrature rules for a new class of weight functions
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- by Paul F. Byrd and Lawrence Stalla PDF
- Math. Comp. 42 (1984), 173-181 Request permission
Abstract:
Proof is given that the weight functions $w(x,p) = 1/[\pi (p + x)\sqrt {x(1 - x)} ]$ on (0, 1) admit Chebyshev quadratures for any fixed $p \geqslant 1$, and every N. For the particular cases when $p = 1$ and $p = 2$, the nodes are tabulated to ten decimal places for N-point rules with $N = 2,4,6,8$, and 12. Numerical tables are also given for a coefficient in the expression of the error term.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Math. Comp. 42 (1984), 173-181
- MSC: Primary 65D32
- DOI: https://doi.org/10.1090/S0025-5718-1984-0725992-1
- MathSciNet review: 725992