×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
Full Text: DOI
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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.