Weight functions for Chebyshev quadrature
Author:
Yuan Xu
Journal:
Math. Comp. 53 (1989), 297302
MSC:
Primary 65D32
MathSciNet review:
970703
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Abstract: In this paper, we investigate if the weight function , where is a rational function of order (1,1), admits Chebyshev quadratures. Many positive examples are provided. In particular, we have proved that the answer is affirmative if , .
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 K. J. Förster, "On weight functions admitting Chebyshev quadrature," Math Comp., v. 49, 1987, pp. 251258. MR 890266 (89b:65061)
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 F. Peherstorfer, "Weight functions which admit Tchebycheff quadrature," Bull. Austral. Math. Soc., v. 26, 1982, pp. 2938. MR 679918 (84k:65025)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198909707032
PII:
S 00255718(1989)09707032
Keywords:
Chebyshev quadrature,
weight function with property T
Article copyright:
© Copyright 1989
American Mathematical Society
