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Segeth, K.

On universally optimal quadrature formulae involving values of derivatives of integrand. (English) Zbl 0188.13203

Czech. Math. J. 19(94), 605-675 (1969).
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Cited in 4 Documents

Keywords:

approximation and series expansion
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\textit{K. Segeth}, Czech. Math. J. 19(94), 605--675 (1969; Zbl 0188.13203)
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References:

[1] I. Babuška: Über die optimale Berechnung der Fourierschen Koeffizienten. Aplikace matematiky 11, pp. 113-122 · Zbl 0171.37502
[2] I. Babuška: Problems of optimization and numerical stability in computations. Aplikace matematiky 13, pp. 3-26 (1968). · Zbl 0155.46602
[3] I. Babuška: Über universal optimale Quadraturformeln. Aplikace matematiky 13, pp. 304-338, 388-404 (1968). · Zbl 0247.65010
[4] I. Babuška S. L. Sobolev: Оптимизация численных методов. Aplikace matematiky 10, pp. 96-129 (1965).
[5] L. Collatz: Funktionalanalysis und numerische Mathematik. Springer-Verlag, Berlin-Göttingen-Heidelberg 1964. · Zbl 0139.09802
[6] I. S. Gradstein L. M. Ryzik: Таблицы интегралов, сумм, рядов и произведений. 4th, Гос. изд. физ.-мат. лит., Москва 1962.
[7] I. J. Schoenberg: Spline interpolation and best quadrature formulae. Bull. Am. Math. Soc. 70 (1964). · Zbl 0136.36202
[8] K. Segeth: On quadrature formulae involving values of derivatives. ZAMM 48 (1968). · Zbl 0184.38102
[9] S. L. Sobolev: Лекции по теории кубатурлых формул I, II. Новосибирск 1964, 1965.
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