Weight functions for Chebyshev quadrature

Author:
Yuan Xu

Journal:
Math. Comp. **53** (1989), 297-302

MSC:
Primary 65D32

DOI:
https://doi.org/10.1090/S0025-5718-1989-0970703-2

MathSciNet review:
970703

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1989-0970703-2

Keywords:
Chebyshev quadrature,
weight function with property *T*

Article copyright:
© Copyright 1989
American Mathematical Society