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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
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 $S_p$.
DOI:
https://doi.org/10.7868/S0044466914110076
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English version:
Computational Mathematics and Mathematical Physics, 2014, 54:11, 1659–1668
Bibliographic databases:
   
UDC:
519.644.7
Received: 03.02.2014
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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http://mi.mathnet.ru/eng/zvmmf10108 http://mi.mathnet.ru/eng/zvmmf/v54/i11/p1724
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