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Sibirskii Zhurnal Vychislitel'noi Matematiki, 1998, Volume 1, Number 4, Pages 313–320 (Mi sjvm312)  
This article is cited in 2 scientific papers (total in 2 papers)

On best quadrature formulas in the reproducing kernel Hilbert space

A. V. Gavrilov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: The best quadrature formulas with free nodes in some Hilbert space with a reproducing kernel are considered. It is shown that they are at the same time optimal among the formulas with the same nodes and having directional derivatives. To prove this, the error norm gradient of the formula with the optimal weights is determined as a function of nodes.
Received: 01.04.1998
Revised: 19.05.1998
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. V. Gavrilov, “On best quadrature formulas in the reproducing kernel Hilbert space”, Sib. Zh. Vychisl. Mat., 1:4 (1998), 313–320
Citation in format AMSBIB
\Bibitem{Gav98}
\by A.~V.~Gavrilov
\paper On best quadrature formulas in the reproducing kernel Hilbert space
\jour Sib. Zh. Vychisl. Mat.
\yr 1998
\vol 1
\issue 4
\pages 313--320
\mathnet{http://mi.mathnet.ru/sjvm312}
\zmath{https://zbmath.org/?q=an:0919.41015}
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    • This publication is cited in the following 2 articles:
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