Compound Cubature Formulas on a Lattice
Kh. M. ShadimetovRomanovskiy Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 100174, Tashkent, Republic of UzbekistanN. Kh. MamatovaBukhara State University, 200118, Bukhara, Republic of Uzbekistan
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Annotatsiya
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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