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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 1, Pages 50–52 (Mi sjim317)  
This article is cited in 1 scientific paper (total in 1 paper)

On optimal quadrature formulas

A. V. Gavrilov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
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Abstract: Quadrature formulas with free nodes which are optimal in the norm of a Banach space are studied. It is shown that it is impossible with some reasonable assumptions to increase the accuracy of such a formula by defining the partial derivatives of the integrable function at the nodes.
Received: 07.07.2004
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 2, Pages 190–192
DOI: https://doi.org/10.1134/S1990478907020093
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. V. Gavrilov, “On optimal quadrature formulas”, Sib. Zh. Ind. Mat., 8:1 (2005), 50–52; J. Appl. Industr. Math., 1:2 (2007), 190–192
Citation in format AMSBIB
\Bibitem{Gav05}
\by A.~V.~Gavrilov
\paper On optimal quadrature formulas
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 1
\pages 50--52
\mathnet{http://mi.mathnet.ru/sjim317}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2221669}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 2
\pages 190--192
\crossref{https://doi.org/10.1134/S1990478907020093}
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    • This publication is cited in the following 1 articles:
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