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This article is cited in 1 scientific paper (total in 1 paper)
On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials
Kirill A. Kirillov Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
On the spaces $S_p$, estimates are found for the norm of the error functional of weighted quadrature formulas. For quadrature formulas exact for constants a lower estimate of ${\|{\delta_{N}} \|}_{S_{p}^{\ast}}$ is proved, and for quadrature formulas possessing the Haar $d$-property upper estimates of the ${\|{\delta_{N}} \|}_{S_{p}^{\ast}}$ are obtained.
Keywords:
Haar $d$-property, error functional of a quadrature formula, function spaces $S_p$.
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UDC:
517.518.87 Received: 04.01.2013 Received in revised form: 14.03.2013 Accepted: 20.04.2013
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Citation:
Kirill A. Kirillov, “On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials”, J. Sib. Fed. Univ. Math. Phys., 6:3 (2013), 298–307
Citation in format AMSBIB
\Bibitem{Kir13}
\by Kirill~A.~Kirillov
\paper On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2013
\vol 6
\issue 3
\pages 298--307
\mathnet{http://mi.mathnet.ru/jsfu315}
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http://mi.mathnet.ru/eng/jsfu315 http://mi.mathnet.ru/eng/jsfu/v6/i3/p298
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This publication is cited in the following articles:
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K. A. Kirillov, “Probability error estimates of approximate integration formulas exact for Haar polynomials in $S_p$ classes”, Comput. Math. Math. Phys., 54:11 (2014), 1659–1668
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