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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2007, Volume 10, Number 1, Pages 29–42 (Mi sjvm65)  
Optimal error of numerical integration with regard to function values at integration points

N. K. Bakirov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
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Abstract: In the paper, we consider a corrected definition for the numerical integration error norm with regard to function values at integration points. Optimal and suboptimal integration formulas are obtained for different functional spaces.
Key words: optimal integration error, trapezoids formula.
Received: 18.08.2005
Revised: 16.01.2006
Bibliographic databases:
UDC: 519.6
Language: Russian
Citation: N. K. Bakirov, “Optimal error of numerical integration with regard to function values at integration points”, Sib. Zh. Vychisl. Mat., 10:1 (2007), 29–42
Citation in format AMSBIB
\Bibitem{Bak07}
\by N.~K.~Bakirov
\paper Optimal error of numerical integration with regard to function values at integration points
\jour Sib. Zh. Vychisl. Mat.
\yr 2007
\vol 10
\issue 1
\pages 29--42
\mathnet{http://mi.mathnet.ru/sjvm65}
\elib{https://elibrary.ru/item.asp?id=9434545}
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