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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.

MSC:
 41A55 Approximate quadratures 41A50 Best approximation, Chebyshev systems
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References:
 [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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