Article

Construction of the optimal cubature formula in the space H˜pμ (Tn)

Farhod JalolovBukhara State University, 11, M.Ikbol str., Bukhara 200114, UzbekistanB. O. IsomiddinovBukhara State University, 11, M.Ikbol str., Bukhara 200114, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

The modern statement of the problem of optimization of approximate integration formulas consists in minimizing the norm of the error functional formula on chosen normed spaces. This paper is devoted to cubature formulas over space H˜pμ (Tn). It was proved that the cubature formula of rectangles (4) is optimal among cubature formulas of the form (6) and exact at constants over space H˜pμ (Tn).

Topics

Advanced Numerical Analysis Techniques Advanced Theoretical and Applied Studies in Material Sciences and Geometry Iterative Methods for Nonlinear Equations

Identifiers

DOI: 10.1063/5.0199850

Citations and references

Cited by 011 references

Metrics — AkademScholar · Coming soon