Weight optimal order of convergence cubature formulas in Sobolev space

Abstract

In this paper we investigate weight cubature formula in function spaces of S.L. Sobolev L2(m),Lp(m),L¯2(m) for the functions defined in the n - dimensional unit cube Kn and obtain an upper estimate for the norm of error functionals of weight cubature formulas. The basis of theorem N.S. Bahvalov it isproved that consideredviewed cubature formulas are optimal on order of convergence in these spaces.

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Identifiers

DOI

10.1063/5.0057015

Citations and references