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Compound Cubature Formulas on a Lattice

Kh. M. ShadimetovTashkent State Transport University, 100167, Tashkent, Republic of UzbekistanN. Kh. MamatovaBukhara State University, 200118, Bukhara, Republic of Uzbekistan
Russian Mathematicsjournal2023en

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In the present paper the 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.

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