On universally optimal quadrature formulae involving values of derivatives of integrand

Karel Segeth

Czechoslovak Mathematical Journal (1969)

  • Volume: 19, Issue: 4, page 605-675
  • ISSN: 0011-4642

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Segeth, Karel. "On universally optimal quadrature formulae involving values of derivatives of integrand." Czechoslovak Mathematical Journal 19.4 (1969): 605-675. <http://eudml.org/doc/12500>.

@article{Segeth1969,
author = {Segeth, Karel},
journal = {Czechoslovak Mathematical Journal},
keywords = {approximation and series expansion},
language = {eng},
number = {4},
pages = {605-675},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On universally optimal quadrature formulae involving values of derivatives of integrand},
url = {http://eudml.org/doc/12500},
volume = {19},
year = {1969},
}

TY - JOUR
AU - Segeth, Karel
TI - On universally optimal quadrature formulae involving values of derivatives of integrand
JO - Czechoslovak Mathematical Journal
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 19
IS - 4
SP - 605
EP - 675
LA - eng
KW - approximation and series expansion
UR - http://eudml.org/doc/12500
ER -

References

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  1. I. Babuška, Über die optimale Berechnung der Fourierschen Koeffizienten, Aplikace matematiky 11, pp. 113-122( 1968). (1968) MR0213071
  2. I. Babuška, Problems of optimization and numerical stability in computations, Aplikace matematiky 13, pp. 3-26 (1968). (1968) MR0235725
  3. I. Babuška, Über universal optimale Quadraturformeln, Aplikace matematiky 13, pp. 304-338, 388-404 (1968). (1968) MR0244680
  4. I. Babuška S. L. Sobolev, Оптимизация численных методов, Aplikace matematiky 10, pp. 96-129 (1965). (1965) MR0191072
  5. L. Collatz, Funktionalanalysis und numerische Mathematik, Springer-Verlag, Berlin-Göttingen-Heidelberg 1964. (1964) Zbl0139.09802MR0165651
  6. I. S. Gradstein L. M. Ryzik, Таблицы интегралов, сумм, рядов и произведений, 4th ed., Гос. изд. физ.-мат. лит., Москва 1962. (1962) 
  7. I. J. Schoenberg, 10.1090/S0002-9904-1964-11054-5, Bull. Am. Math. Soc. 70 (1964). (1964) Zbl0136.36202MR0157157DOI10.1090/S0002-9904-1964-11054-5
  8. K. Segeth, On quadrature formulae involving values of derivatives, ZAMM 48 (1968). (1968) Zbl0184.38102
  9. S. L. Sobolev, Лекции no теории кубатурлых формул I, II, Новосибирск 1964, 1965. (1964) 

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