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A note on quadrature formulas for the Chebyshev weight function of the first kind. (English) Zbl 0798.41025
Summary: Interpolatory quadrature formulas with nodes \(x_ j\) being the zeros of \(T_ n(x)+C\) where \(T_ n(x)\) denotes the Chebyshev polynomial of degree \(n\) and \(C\) a constant, are considered.

41A55 Approximate quadratures
41A50 Best approximation, Chebyshev systems
Full Text: DOI
[1] Krilov, V.I., Approximate calculation of integrals, (1962), MacMillan Company New York
[2] Betancor, J.D.; González-Vera, P.; Pérez Acosta, F.; Orive, R., Chebyshev polynomials and the interpolatory quadrature formulas, (1993), (preprint)
[3] Rivlin, T.J., The Chebyshev polynomials, (1974), John Wiley and Sons · Zbl 0291.33012
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