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

 

On a theorem of C. Posse concerning Gaussian quadrature of Chebyshev type


Author: Klaus-Jürgen Förster
Journal: Math. Comp. 62 (1994), 719-724
MSC: Primary 65D32; Secondary 41A55
MathSciNet review: 1219703
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Abstract: We consider (n, m) Chebyshev formulae of algebraic degree m using n nodes. The aim of this short note is to show that by a simple algebraic method C. Posse's theorem concerning Gaussian quadrature of Chebyshev type can be improved. Furthermore, we given an application of this method to Gauss-Kronrod quadrature of Chebyshev type.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1994-1219703-X
PII: S 0025-5718(1994)1219703-X
Keywords: Chebyshev quadrature, Gaussian quadrature, Gauss-Kronrod quadrature
Article copyright: © Copyright 1994 American Mathematical Society