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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Weight functions for Chebyshev quadrature
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by Yuan Xu PDF
Math. Comp. 53 (1989), 297-302 Request permission

Abstract:

In this paper, we investigate if the weight function ${(1 - {x^2})^{ - 1/2}}R(x)$, where $R(x)$ 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 $R(x) = 1 + bx$, $|b| < 0.27846 \ldots$.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Math. Comp. 53 (1989), 297-302
  • MSC: Primary 65D32
  • DOI: https://doi.org/10.1090/S0025-5718-1989-0970703-2
  • MathSciNet review: 970703