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Estimation of error in approximate numerical integration near a simple pole using Chebyshev points. (English) Zbl 0457.65007
MSC:
65D32 Numerical quadrature and cubature formulas
41A55 Approximate quadratures
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References:
[1] N. I. Achieser: Theory of approximation. (translated by C. J. Hyman). Frederick Ungar Publishing Co., New York, 1956. · Zbl 0072.28403
[2] N. K. Basu: Approximate integration near a simple pole using Chebyshev abscissas. Mathematica, Vol. 13 (36), 5-11 (1971). · Zbl 0313.65017
[3] E. Isaacson H. B. Keller: Analysis of numerical methods. John Wiley and Sons, Inc., New York, 1966. · Zbl 0168.13101
[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). · 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). · JFM 46.0415.01
[6] G. Opitz: Genäherte Integration in der Nähe eines einfachen Pols. ZAMM, 41, 263-264 (1961). · Zbl 0102.11703
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