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J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 3, Pages 382–387 (Mi jsfu253)  
This article is cited in 1 scientific paper (total in 1 paper)

Estimates for the norm of the error functional in $H_\alpha$ for cubature formulas which exact for Haar polynomials in the two-dimensional case

Kirill A. Kirillov

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

Abstract: In the two-dimensional case upper estimates of the norm of the error functional in $H_\alpha$.

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

Full text: PDF file (159 kB)
References: PDF file   HTML file
UDC: 517.518.87
Received: 31.03.2012
Received in revised form: 31.03.2012
Accepted: 31.03.2012

Citation: Kirill A. Kirillov, “Estimates for the norm of the error functional in $H_\alpha$ for cubature formulas which exact for Haar polynomials in the two-dimensional case”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012), 382–387

Citation in format AMSBIB
\Bibitem{Kir12}
\by Kirill~A.~Kirillov
\paper Estimates for the norm of the error functional in $H_\alpha$ for cubature formulas which exact for Haar polynomials in the two-dimensional case
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 3
\pages 382--387
\mathnet{http://mi.mathnet.ru/jsfu253}


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    This publication is cited in the following articles:
    1. 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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