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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 4, Pages 398–413
DOI: https://doi.org/10.17516/1997-1397-2020-13-4-398-413 (Mi jsfu848) 		 
On error estimates in $S_p$ for cubature formulas exact for Haar polynomials

Kirill A. Kirillov

Siberian Federal University, Krasnoyarsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2020-13-4-398-413
Abstract: On the spaces $S_p$, an upper and lower estimates for the norm of the error functional cubature formulas possessing the Haar $d$-property are obtained for the $n$-dimensional case.
Keywords: Haar $d$-property, error estimates for cubature formulas, function spaces $S_p$.
Received: 12.03.2020
Received in revised form: 08.05.2020
Accepted: 15.05.2020
Bibliographic databases:
Document Type: Article
UDC: 519.644.7
Language: English
Citation: Kirill A. Kirillov, “On error estimates in $S_p$ for cubature formulas exact for Haar polynomials”, J. Sib. Fed. Univ. Math. Phys., 13:4 (2020), 398–413
Citation in format AMSBIB
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\by Kirill~A.~Kirillov
\paper On error estimates in $S_p$ for cubature formulas exact for Haar polynomials
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 4
\pages 398--413
\mathnet{http://mi.mathnet.ru/jsfu848}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-4-398-413}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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