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Sibirskii Zhurnal Vychislitel'noi Matematiki, 1999, Volume 2, Number 2, Pages 185–196
(Mi sjvm334)
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This article is cited in 7 scientific papers (total in 7 papers)
Weight optimal cubature formulas in Sobolev's periodic space
Kh. M. Shadimetov Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan, Tashkent
Abstract:
In the present paper the weight lattice optimal cubature formulas in the periodic Sobolev's space
$\widetilde L_2^{(m)}(\Omega)$ are constructed. Under writing out of the algorithm of the construction the extremal function is found, and by means of the function the norm of the error functional of the cubature formula is calculated. Minimizing the norms, periodic Winier–Hopf's systems are obtained. Then the uniqueness solution to the system has been proved.
Received: 26.06.1998 Revised: 01.10.1998
Citation:
Kh. M. Shadimetov, “Weight optimal cubature formulas in Sobolev's periodic space”, Sib. Zh. Vychisl. Mat., 2:2 (1999), 185–196
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Abstract page: | 226 | Full-text PDF : | 89 | References: | 24 |
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