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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 12, Pages 1985–1996
DOI: https://doi.org/10.7868/S0044466913120107 (Mi zvmmf9956) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Error estimates of cubature formulas exact for Haar polynomials in classes of two-variable functions satisfying a general Lipschitz condition

K. A. Kirillov

Siberian Federal University, ul. Kirenskogo 26, Krasnoyarsk, 660074, Russia
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DOI: https://doi.org/10.7868/S0044466913120107
Abstract: Upper error estimates are obtained for cubature formulas with the Haar $d$-property in the classes $\mathrm{Lip}(L_1,L_2)$ of two-variable functions satisfying a general Lipschitz condition. It is shown that the error of minimal cubature formulas possessing the Haar $d$-property have the best order of convergence to zero in the indicated classes.
Key words: Haar $d$-property, error estimation for cubature formulas, classes of functions $\mathrm{Lip}(L_1,L_2)$.
Received: 14.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 12, Pages 1796–1807
DOI: https://doi.org/10.1134/S0965542513120075
Bibliographic databases:
Document Type: Article
UDC: 519.644.7
Language: Russian
Citation: K. A. Kirillov, “Error estimates of cubature formulas exact for Haar polynomials in classes of two-variable functions satisfying a general Lipschitz condition”, Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013), 1985–1996; Comput. Math. Math. Phys., 53:12 (2013), 1796–1807
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    • This publication is cited in the following 1 articles:
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