Kh. M. Shadimetov, “Construction of weight lattice optimal quadrature formulas in the space $L_2^m(0,N)$”, Sib. Zh. Vychisl. Mat., 5:3 (2002), 275

Sibirskii Zhurnal Vychislitel'noi Matematiki

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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2002, Volume 5, Number 3, Pages 275–293 (Mi sjvm255)

This article is cited in 4 scientific papers (total in 4 papers)

Construction of weight lattice optimal quadrature formulas in the space

L_{2}^{m} (0, N)

$L_2^m(0,N)$

Kh. M. Shadimetov

Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan

Full-text PDF (794 kB) Citations (4)

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Abstract: In this paper, the optimal coefficients of weight quadrature formulas are explicitly found in the space

L_{2}^{m} (0, N)

$L_2^m(0,N)$ for any

m \geq 1

$m\geq 1$ using the algorithm proposed by S. L. Sobolev.

Received: 01.02.2000
Revised: 26.06.2001

UDC: 517:518.946

Language: Russian

Citation: Kh. M. Shadimetov, “Construction of weight lattice optimal quadrature formulas in the space

L_{2}^{m} (0, N)

$L_2^m(0,N)$ ”, Sib. Zh. Vychisl. Mat., 5:3 (2002), 275–293

Citation in format AMSBIB

\Bibitem{Sha02}

\by Kh.~M.~Shadimetov

\paper Construction of weight lattice optimal quadrature formulas in the space $L_2^m(0,N)$

\jour Sib. Zh. Vychisl. Mat.

\yr 2002

\vol 5

\issue 3

\pages 275--293

\mathnet{http://mi.mathnet.ru/sjvm255}

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https://www.mathnet.ru/eng/sjvm255

https://www.mathnet.ru/eng/sjvm/v5/i3/p275

This publication is cited in the following 4 articles:

A. R. Hayotov, F. A. Nuraliev, R. I. Parovik, Kh. M. Shadimetov, “Euler-Maclaurin type optimal formulas for numerical integration in Sobolev space”, Vestnik KRAUNTs. Fiz.-mat. nauki, 32:3 (2020), 75–101
Kholmat M. Shadimetov, Farhod A. Nuraliev, “Optimal formulas of numerical integration with derivatives in Sobolev space”, Zhurn. SFU. Ser. Matem. i fiz., 11:6 (2018), 764–775
Shadimetov Kh.M., Hayotov A.R., Nuraliev F.A., “Optimal Quadrature Formulas of Euler-Maclaurin Type”, Appl. Math. Comput., 276 (2016), 340–355
Shadimetov Kh.M., Hayotov A.R., “Optimal Quadrature Formulas in the Sense of Sard in Space”, Calcolo, 51:2 (2014), 211–243

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Sibirskii Zhurnal Vychislitel'noi Matematiki

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