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An optimal quadrature formula in K2(P3) space

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

AIP conference proceedingsjournal2021en

Ochiq kirish: yoʻq

ABI

Annotatsiya

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.

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Mavzular

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

Identifikatorlar

DOI: 10.1063/5.0057078

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