Article

An optimal quadrature formula in K2(P3) space

Siroj AzamovTashkent State Transport University, Odilkhodjaev str. 1, Tashkent 100167, Uzbekistan

AIP conference proceedingsjournal2021en

ABI

Abstract

In this paper in K2(P3) Hilbert space the problem of construction of optimal quadrature formula in the sense of Sard is considered and using S.L. Sobolev’s method a new optimal quadrature formula is obtained. For the optimal coefficients explicit formulas are given. The constructed optimal quadrature formula is exact for the functions e−12xsin32x, e−12xcos32x and 1.

Topics

Differential Equations and Boundary Problems Aerospace Engineering and Control Systems Mathematical functions and polynomials

Identifiers

DOI: 10.1063/5.0057078

Citations and references

Cited by 3 13 references

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