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Estimating errors of numerical approximation for analytic functions. (English) Zbl 0195.16902


MSC:

65D15 Algorithms for approximation of functions
65E05 General theory of numerical methods in complex analysis (potential theory, etc.)
65J05 General theory of numerical analysis in abstract spaces
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References:

[1] Davis, P. J.: Errors of numerical approximation for analytic functions. J. Rational Mech. Anal.2, 303–313 (1953). · Zbl 0050.13005
[2] —- Errors of numerical approximation for analytic functions. Survey of numerical analysis (John Todd, ed.), p. 468–484. New York: McGraw-Hill Book Company, Inc. 1962.
[3] —- Interpolation and approximation. New York: Blaisdell Publishing Company 1963 · Zbl 0111.06003
[4] Chawla, M. M.: On Davis’ method for the estimation of errors of Gauss-Chebyshev quadratures. SIAM J. Numer. Anal. 6, 108–117 (1969). · Zbl 0191.44902 · doi:10.1137/0706012
[5] —- Asymptotic estimates for the error of the Gauss-Legendre quadrature formula. Computer J.11, 339–340 (1969). · Zbl 0207.16301 · doi:10.1093/comjnl/11.3.339
[6] —- Jain, M. K.: Error estimates for Gauss quadrature formulas for analytic functions. Math. Comp.22, 82–90 (1968). · Zbl 0155.21602 · doi:10.1090/S0025-5718-1968-0223093-3
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