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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


Trigonometric and Gaussian quadrature

Authors: C. J. Knight and A. C. R. Newbery
Journal: Math. Comp. 24 (1970), 575-581
MSC: Primary 65.55
MathSciNet review: 0275672
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Abstract: Some relationships are established between trigonometric quadrature and various classical quadrature formulas. In particular Gauss-Legendre quadrature is shown to be a limiting case of trigonometric quadrature.

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PII: S 0025-5718(1970)0275672-4
Keywords: Trigonometric quadrature, Gaussian quadrature, orthogonal polynomials, coalescing roots, orthogonal polynomials, construction of orthogonal polynomials
Article copyright: © Copyright 1970 American Mathematical Society