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 | Similar Articles | Additional Information

**[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