文章基本信息

标题：About Coefficients and Order of Convergence of the Optimal Quadrature Formula
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作者：Aziz K. Boltaev ; Abdullo R. Hayotov ; Kholmat M. Shadimetov 等
期刊名称：American Journal of Numerical Analysis
印刷版ISSN：2372-2118
电子版ISSN：2372-2126
出版年度：2014
卷号：2
期号：2
页码：35-48
DOI：10.12691/ajna-2-2-2
语种：English
出版社：Science and Education Publishing
摘要：In this paper we construct an optimal quadrature formula in the sense of Sard in the Hilbert space K₂(P₃). Using S.L. Sobolev's method we obtain new optimal quadrature formula and give explicit expressions for the corresponding optimal coefficients. Furthermore, we investigate order of convergence of the optimal formula. The obtained optimal quadrature formula is exact for the functions e^-x, .
关键词：optimal quadrature formulas; error functional; extremal function; hilbert space; optimal coefficients