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J. Sib. Fed. Univ. Math. Phys., 2011, Volume 4, Issue 4, Pages 479–488 (Mi jsfu206)  
This article is cited in 2 scientific papers (total in 2 papers)

Estimates for the norm of the error functional of quadrature formulas exact for Haar polynomials

Kirill A. Kirillov

Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk, Russia

Abstract: On the spaces $S_p$ and $H_\alpha$, the estimates are found for the norm of the error functional of quadrature formulas possessing the Haar $d$-property.

Keywords: Haar $d$-property, error functional of quadrature formula, function spaces $S_p$, $H_\alpha$.

Full text: PDF file (181 kB)
References: PDF file   HTML file
UDC: 517.518.87
Received: 06.07.2011
Received in revised form: 06.08.2011
Accepted: 10.09.2011

Citation: Kirill A. Kirillov, “Estimates for the norm of the error functional of quadrature formulas exact for Haar polynomials”, J. Sib. Fed. Univ. Math. Phys., 4:4 (2011), 479–488

Citation in format AMSBIB
\Bibitem{Kir11}
\by Kirill~A.~Kirillov
\paper Estimates for the norm of the error functional of quadrature formulas exact for Haar polynomials
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2011
\vol 4
\issue 4
\pages 479--488
\mathnet{http://mi.mathnet.ru/jsfu206}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Kirill A. Kirillov, “On Error Estimates for Weighted Quadrature Formulas Exact for Haar Polynomials”, Zhurn. SFU. Ser. Matem. i fiz., 6:3 (2013), 298–307  mathnet
    2. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    		• Журнал Сибирского федерального университета. Серия "Математика и физика"
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