Geodesic
On universally optimal quadrature formulae involving values of derivatives of integrand
Czechoslovak Mathematical Journal, Tome 19 (1969) no. 4, pp. 605-675

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MR Zbl
DOI : 10.21136/CMJ.1969.100927
Classification : 65.55 
Segeth, Karel. On universally optimal quadrature formulae involving values of derivatives of integrand. Czechoslovak Mathematical Journal, Tome 19 (1969) no. 4, pp. 605-675. doi: 10.21136/CMJ.1969.100927
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[1] I. Babuška: Über die optimale Berechnung der Fourierschen Koeffizienten. Aplikace matematiky 11, pp. 113-122( 1968). | MR

[2] I. Babuška: Problems of optimization and numerical stability in computations. Aplikace matematiky 13, pp. 3-26 (1968). | MR

[3] I. Babuška: Über universal optimale Quadraturformeln. Aplikace matematiky 13, pp. 304-338, 388-404 (1968). | MR

[4] I. Babuška S. L. Sobolev: Оптимизация численных методов. Aplikace matematiky 10, pp. 96-129 (1965). | MR

[5] L. Collatz: Funktionalanalysis und numerische Mathematik. Springer-Verlag, Berlin-Göttingen-Heidelberg 1964. | MR | Zbl

[6] I. S. Gradstein L. M. Ryzik: Таблицы интегралов, сумм, рядов и произведений. 4th ed., Гос. изд. физ.-мат. лит., Москва 1962.

[7] I. J. Schoenberg: Spline interpolation and best quadrature formulae. Bull. Am. Math. Soc. 70 (1964). | DOI | MR | Zbl

[8] K. Segeth: On quadrature formulae involving values of derivatives. ZAMM 48 (1968). | Zbl

[9] S. L. Sobolev: Лекции no теории кубатурлых формул I, II. Новосибирск 1964, 1965.

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