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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 11, Pages 59–74
DOI: https://doi.org/10.26907/0021-3446-2023-11-59-74 (Mi ivm9917) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Compound cubature formulas on a lattice

Kh. M. Shadimetovab, N. H. Mamatovacb

a Tashkent State Transport University, 1 Odilkhodjaev str., Tashkent, 100167 Republic of Uzbekistan
b V.I. Romanovskiy Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 81 Mirzo Ulugbek str., Tashkent, 100174 Republic of Uzbekistan
c Bukhara State University, 11 M. Iqbol str., Bukhara, 200118 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2023-11-59-74
Abstract: In the present paper lattice optimal cubature formulas are constructed by the variational method in the Sobolev space. In addition, the square of the norm of the error functional of the constructed lattice optimal cubature formulas in the conjugate Sobolev space is explicitly calculated.
Keywords: Sobolev space, extremal function, composite lattice optimal cubature formulas, error functional.
Received: 29.03.2023
Revised: 29.03.2023
Accepted: 29.05.2023
Document Type: Article
UDC: 519.644
Language: Russian
Citation: Kh. M. Shadimetov, N. H. Mamatova, “Compound cubature formulas on a lattice”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 11, 59–74
Citation in format AMSBIB
\Bibitem{ShaMam23}
\by Kh.~M.~Shadimetov, N.~H.~Mamatova
\paper Compound cubature formulas on a lattice
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 11
\pages 59--74
\mathnet{http://mi.mathnet.ru/ivm9917}
\crossref{https://doi.org/10.26907/0021-3446-2023-11-59-74}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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