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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 12, Pages 3–19 (Mi ivm7156)  
Comparison of numerical integration formulas

N. K. Bakirov, I. R. Gallyamov

Chair of Mathematics, Ufa State Aviation Technical University, Ufa, Russia
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Abstract: In this paper we study the mean-square error of numerical integration, when the integrand is a random stationary process. We obtain exact asymptotic errors of classical quadrature formulas and give lower and upper bounds for the least mean-square error.
Keywords: quadrature formula, stationary random process.
Received: 24.04.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 12, Pages 1–16
DOI: https://doi.org/10.3103/S1066369X10120017
Bibliographic databases:
Document Type: Article
UDC: 519.644
Language: Russian
Citation: N. K. Bakirov, I. R. Gallyamov, “Comparison of numerical integration formulas”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 12, 3–19; Russian Math. (Iz. VUZ), 54:12 (2010), 1–16
Citation in format AMSBIB
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\paper Comparison of numerical integration formulas
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 12
\pages 3--19
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814574}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 12
\pages 1--16
\crossref{https://doi.org/10.3103/S1066369X10120017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952820353}
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