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Compound Cubature Formulas on a Lattice
Russian Mathematics Pub Date : 2024-02-19 , DOI: 10.3103/s1066369x23110087 Kh. M. Shadimetov , N. Kh. Mamatova
更新日期：2024-02-19
Russian Mathematics Pub Date : 2024-02-19 , DOI: 10.3103/s1066369x23110087 Kh. M. Shadimetov , N. Kh. Mamatova
Abstract
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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