Error estimates of cubature formulas exact for Haar polynomials in classes of two-variable functions satisfying a general Lipschitz condition-Reference-Cited by-同舟云学术

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

Published:2013-12 Issue:12 Volume:53 Page:1796-1807
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Kirillov K. A.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542513120075.pdf

Reference17 articles.

1. I. M. Sobol’, Multidimensional Quadrature Formulas and Haar Functions (Nauka, Moscow, 1969) [in Russian].

2. K. A. Kirillov and M. V. Noskov, “Minimal quadrature formulas accurate for Haar polynomials,” Comput. Math. Math. Phys. 42, 758–766 (2002).

3. K. A. Kirillov, “On error estimation of minimal weighted quadrature formulas accurate for Haar functions,” Vychisl. Tekhnol. 11, 44–50 (2006).

4. K. A. Kirillov, “Estimates of the norm of the error functional in Sp spaces for weighted quadrature formulas accurate for Haar polynomials,” Vychisl. Metody Program. 1, 324–331 (2012) ( http://num-meth.srcc.msu.ru ).

5. K. A. Kirillov, “Estimates of the norm of the error functional for quadrature formulas accurate for Haar polynomials,” Zh. Sib. Feder. Univ. Ser. Mat. Fiz. 4, 479–488 (2011).

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