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quadrature formula; error estimate; functions with simple pole; Chebyshev points
In this note quadrature formula with error estimate for functions with simple pole is discussed. Chebyshev points of the second kind are used as the nodes of integration.
[1] N. I. Achieser: Theory of approximation. (translated by C. J. Hyman). Frederick Ungar Publishing Co., New York, 1956. MR 0095369 | Zbl 0072.28403
[2] N. K. Basu: Approximate integration near a simple pole using Chebyshev abscissas. Mathematica, Vol. 13 (36), 5-11 (1971). MR 0301898
[3] E. Isaacson H. B. Keller: Analysis of numerical methods. John Wiley and Sons, Inc., New York, 1966. MR 0201039
[4] M. C. Kundu: Approximate integration near a simple pole using Chebyshev points of the second kind. Bulletin Mathematique, T. 21 (69), nr. 3-4(1977). MR 0474711 | Zbl 0368.65018
[5] W. A. Markoff: Über die Funktionen, die an einem gegebenen Intervall möglichst wenig von Null abweichen. Math. Ann. 77, 213-258 (1916). DOI 10.1007/BF01456902 | MR 1511855
[6] G. Opitz: Genäherte Integration in der Nähe eines einfachen Pols. ZAMM, 41, 263-264 (1961). DOI 10.1002/zamm.19610410607 | MR 0126104 | Zbl 0102.11703
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