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Error estimates for Gaussian quadrature formulae. (English) Zbl 0351.65005

MSC:
65D30 Numerical integration
41A55 Approximate quadratures
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References:
[1] Achieser, N.I.: Vorlesungen über Approximationstheorie, 2. Aufl. Berlin; Akademie-Verlag 1967
[2] Chawla, M.M.: Asymptotic estimates for the error in the Gauss-Legendre quadrature formula. Comput. J.11, 339-340 (1968) · Zbl 0207.16301
[3] Davis, P.J.: Errors of numerical approximation. Arch. Rational Mech. Anal.2, 303-313 (1953) · Zbl 0050.13005
[4] Duren, P.J.: Theory ofH p spaces. New York: Academic Press 1970 · Zbl 0215.20203
[5] Freud, G.: Error estimates for Gauss-Jacobi quadrature formulae. In: Topics in numerical analysis (J. Miller, ed.), pp. 113-121. London: Academic Press, 1973 · Zbl 0285.65019
[6] Karlsson, J., von Sydow, B.: The convergence of Padé approximants to series of Stieltjes. Ark. Mat.14, 43-53 (1976) · Zbl 0323.30045
[7] Markoff, A.: Differenzenrechnung. Leipzig: Teubner 1896
[8] Meinardus, G.: Approximation of functions: Theory and numerical methods. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0152.15202
[9] Stenger, F.: Bounds on the error of Gauss-type quadratures. Numer. Math.8, 150-160 (1966) · Zbl 0149.12002
[10] Szegö, G.: Orthogonal polynomials, 3rd ed. Providence: American Mathematical Society 1967 · JFM 65.0278.03
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