Article
Keywords:
quadrature formula; error estimate; functions with simple pole; Chebyshev points
Summary:
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.
References:
[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