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Mathematics of Computation

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Some extensions of Legendre quadrature

Author: A. C. R. Newbery
Journal: Math. Comp. 23 (1969), 173-176
MSC: Primary 65.55
MathSciNet review: 0238492
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Abstract: The $ m$-point Gauss-Legendre formula gives an exact expression for the integral of an algebraic polynomial of maximum degree $ 2m - 1$ in terms of $ m$ ordinates. It is shown that analogous formulas can be derived for exponential and trigonometric polynomials.

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Article copyright: © Copyright 1969 American Mathematical Society

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