| Title:
|
On universally optimal quadrature formulae involving values of derivatives of integrand (English) |
| Author:
|
Segeth, Karel |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
19 |
| Issue:
|
4 |
| Year:
|
1969 |
| Pages:
|
605-675 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
65.55 |
| idZBL:
|
Zbl 0188.13203 |
| idMR:
|
MR0260177 |
| DOI:
|
10.21136/CMJ.1969.100927 |
| . |
| Date available:
|
2008-06-09T13:43:59Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100927 |
| . |
| Reference:
|
[1] I. Babuška: Über die optimale Berechnung der Fourierschen Koeffizienten.Aplikace matematiky 11, pp. 113-122( 1968). MR 0213071 |
| Reference:
|
[2] I. Babuška: Problems of optimization and numerical stability in computations.Aplikace matematiky 13, pp. 3-26 (1968). MR 0235725 |
| Reference:
|
[3] I. Babuška: Über universal optimale Quadraturformeln.Aplikace matematiky 13, pp. 304-338, 388-404 (1968). MR 0244680 |
| Reference:
|
[4] I. Babuška S. L. Sobolev: Оптимизация численных методов.Aplikace matematiky 10, pp. 96-129 (1965). MR 0191072 |
| Reference:
|
[5] L. Collatz: Funktionalanalysis und numerische Mathematik.Springer-Verlag, Berlin-Göttingen-Heidelberg 1964. Zbl 0139.09802, MR 0165651 |
| Reference:
|
[6] I. S. Gradstein L. M. Ryzik: Таблицы интегралов, сумм, рядов и произведений.4th ed., Гос. изд. физ.-мат. лит., Москва 1962. |
| Reference:
|
[7] I. J. Schoenberg: Spline interpolation and best quadrature formulae.Bull. Am. Math. Soc. 70 (1964). Zbl 0136.36202, MR 0157157, 10.1090/S0002-9904-1964-11054-5 |
| Reference:
|
[8] K. Segeth: On quadrature formulae involving values of derivatives.ZAMM 48 (1968). Zbl 0184.38102 |
| Reference:
|
[9] S. L. Sobolev: Лекции no теории кубатурлых формул I, II.Новосибирск 1964, 1965. |
| . |
