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Mathematics of Computation

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On weight functions admitting Chebyshev quadrature


Author: Klaus-Jürgen Förster
Journal: Math. Comp. 49 (1987), 251-258
MSC: Primary 65D32; Secondary 41A55
DOI: https://doi.org/10.1090/S0025-5718-1987-0890266-8
MathSciNet review: 890266
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Abstract: In this paper we prove the existence of Chebyshev quadrature for three new weight functions which are quite different from the two known examples given by Ullman [15] and Byrd and Stalla [2]. In particular, we indicate a simple method to construct weight functions for which there exist infinitely many Chebyshev quadrature rules.


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DOI: https://doi.org/10.1090/S0025-5718-1987-0890266-8
Keywords: Chebyshev quadrature, quadrature rules
Article copyright: © Copyright 1987 American Mathematical Society

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