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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 3, Pages 318–323 (Mi jsfu377)  
This article is cited in 1 scientific paper (total in 1 paper)

On minimal cubature formulas exact for Haar polynomials of low degrees in the two-dimensional case

Kirill A. Kirillov

Institute of Space and Information Technologies, Siberian Federal University, Kirenskogo, 26, Krasnoyarsk, 660074, Russia
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Abstract: A lower estimate for number of nodes of cubature formulas possessing the Haar d-property (d⩾2) is obtained in the two-dimensional case. Examples of minimal cubature formulas with Haar d-property for d=2 and d=3 are given.
Keywords: minimal cubature formulas, Haar functions, Haar polynomials, Haar d-property.
Received: 26.02.2014
Received in revised form: 01.04.2014
Accepted: 20.05.2014
Document Type: Article
UDC: 517.518.87
Language: English
Citation: Kirill A. Kirillov, “On minimal cubature formulas exact for Haar polynomials of low degrees in the two-dimensional case”, J. Sib. Fed. Univ. Math. Phys., 7:3 (2014), 318–323
Citation in format AMSBIB
\Bibitem{Kir14}
\by Kirill~A.~Kirillov
\paper On minimal cubature formulas exact for Haar polynomials of low degrees in the two-dimensional case
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 3
\pages 318--323
\mathnet{http://mi.mathnet.ru/jsfu377}
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  • https://www.mathnet.ru/eng/jsfu/v7/i3/p318
    • This publication is cited in the following 1 articles:
    1. Kirill A. Kirillov, “On error estimates in $S_p$ for cubature formulas exact for Haar polynomials”, Zhurn. SFU. Ser. Matem. i fiz., 13:4 (2020), 398–413  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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    References:55
     
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