On the construction of optimal quadrature formulas with equally spaced nodes

被引：0

作者：

Shadimetov, Kh. M. ^{[1
,2
]}

Azamov, S. S. ^{[1
]}

机构：

[1] Tashkent State Transport Univ, 1 Temiryolchilar Str, Tashkent 100167, Uzbekistan

[2] Uzbek Acad Sci, VI Romanovskiy Inst Math, 4B Univ Str, Tashkent 100174, Uzbekistan

来源：

FILOMAT | 2024年 / 38卷 / 29期

关键词：

Optimal quadrature formulas; error functional; extremal function; Hilbert space; optimal coefficients; SOBOLEV SPACE; SENSE; SARD;

D O I：

10.2298/FIL2429279S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper in Hilbert space S-2 ( P-2 ) the problem of construction of an optimal quadrature formula in the sense of Sard is considered and using 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 (-x) and xe( -x) .

引用

页码：10279 / 10295

页数：17

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