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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 11, Pages 1724–1733
DOI: https://doi.org/10.7868/S0044466914110076 (Mi zvmmf10108) 		 
Probability error estimates of approximate integration formulas exact for Haar polynomials in $S_p$ classes

K. A. Kirillov

Siberian Federal University, ul. Kirenskogo 26, Krasnoyarsk, 660074, Russia
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DOI: https://doi.org/10.7868/S0044466914110076
Abstract: For approximate integration formulas having the Haar $d$-property, probability error estimates in the function classes $S_p$ are obtained in the one- and two-dimensional cases.
Key words: Haar $d$-property, errors in cubature formulas, function classes $S_p$.
Received: 03.02.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 11, Pages 1659–1668
DOI: https://doi.org/10.1134/S0965542514110074
Bibliographic databases:
Document Type: Article
UDC: 519.644.7
Language: Russian
Citation: K. A. Kirillov, “Probability error estimates of approximate integration formulas exact for Haar polynomials in $S_p$ classes”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014), 1724–1733; Comput. Math. Math. Phys., 54:11 (2014), 1659–1668
Citation in format AMSBIB
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