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Error estimates for Gauss quadrature formulas for analytic functions


Authors: M. M. Chawla and M. K. Jain
Journal: Math. Comp. 22 (1968), 82-90
MSC: Primary 65.55
DOI: https://doi.org/10.1090/S0025-5718-1968-0223093-3
MathSciNet review: 0223093
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References [Enhancements On Off] (What's this?)

  • [1] P. J. Davis & P. Rabinowitz, "On the estimation of quadrature errors for analytic functions," MTAC, v. 8, 1954, pp. 193-203. MR 16, 404. MR 0065256 (16:404e)
  • [2] P. J. Davis, "On the numerical integration of periodic analytic functions," On Numerical Approximation, R. E. Langer, Editor, Univ. of Wisconsin Press, Madison, Wis., 1959, pp. 45-59. 3. J. McNamee, "Error-bounds for the evaluation of integrals by the Euler-Maclaurin formula and by Gauss-type formulae," Math. Comp., v. 18, 1964, pp. 368-381. MR 32 #3264. MR 0100354 (20:6787)
  • [4] W. Barrett, "Convergence properties of Gaussian quadrature formulae," Comput. J., v. 3, 1960/1961, pp. 272-277. MR 23 #B1117. MR 0128073 (23:B1117)
  • [5] P. J. Davis, Interpolation and Approximation, Blaisdell, New York, 1963. MR 28 #393. MR 0157156 (28:393)
  • [6] E. T. Copson, Theory of Functions of a Complex Variable, Oxford Univ. Press, Oxford, 1935.

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DOI: https://doi.org/10.1090/S0025-5718-1968-0223093-3
Article copyright: © Copyright 1968 American Mathematical Society

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