Compound cubature formulas on a lattice
Khalmatvay ShadimetovTashkent State Transport University; V.I. Romanovskiy Institute of Mathematics Academy of Sciences of the Republic of UzbekistanN. H. MamatovaBukhara State University; V.I. Romanovskiy Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan
ABI
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.
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