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Interpolatory quadrature formulas on the unit circle for Chebyshev weight functions

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Summary.

In this paper, interpolatory quadrature formulas based upon the roots of unity are studied for certain weight functions. Positivity of the coefficients in these formulas is deduced along with computable error estimations for analytic integrands. A comparison is made with Szegö quadrature formulas. Finally, an application to the interval [-1,1] is also carried out.

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Received February 29, 2000 / Published online August 17, 2001

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Daruis, L., González-Vera, P. Interpolatory quadrature formulas on the unit circle for Chebyshev weight functions. Numer. Math. 90, 641–664 (2002). https://doi.org/10.1007/s002110100323

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  • DOI: https://doi.org/10.1007/s002110100323

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