Статья

Optimal quadrature formulas with the trigonometric weight in the Sobolev space

A.R. Hayotov)National University of Uzbekistan named after M. Ulugbek, University str. 4, Tashkent 100174, UzbekistanBakhromjon Bozarov)V.I. Romanovskiy Institute of mathematics, Uzbekistan Academy of Sciences, University str. 4b, Tashkent 100174, Uzbekistan

AIP conference proceedingsjournal2021en

ABI

Аннотация

In this paper there is considered the problem of construction of a new optimal quadrature formula in the sense of Sard in L2(m) 0,1] Hilbert space, using S.L. Sobolev’s method. There are given explicit formulas for coefficients of the optimal quadrature formula. Furthermore, some numerical results are presented.

Темы

Mathematical functions and polynomials Differential Equations and Boundary Problems Iterative Methods for Nonlinear Equations

Идентификаторы

DOI: 10.1063/5.0056954

Цитирования и источники

Цитирований: 12 Использованных источников: 12

Показатели — AkademScholar · Скоро