Article

Algorithm for finding the norm of the error functional of a Hermite type cubature formula in the Sobolev space W~2(m)(Tn)

O. I. JalolovBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanKhurshidjon KhayatovBukhara State University, 11, M.Ikbol str., Bukhara 200114, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

The modern formulation of the problem of optimization of approximate integration formulas consists in minimizing the norm of the formula of the error functional on chosen normed spaces. When studying the best formulas for approximate integration, the first question that arises: "Is there such formulas exist?". These research methods have not yet been effectively applied in the study of cubature formulas in W~2(m) (Tn), which are multidimensional analogue of the space W2(m) (T1).

Topics

Mathematical functions and polynomials Mathematical Approximation and Integration Differential Equations and Boundary Problems

Identifiers

DOI: 10.1063/5.0199855

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