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 J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 3, Pages 382–387 (Mi jsfu253)

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 $H_\alpha$.

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UDC: 517.518.87
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
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