An extremal approach to Birkhoff quadrature formulas

被引：0

作者：

Shi, Y.-G. ^{[1
]}

机构：

[1] Department of Mathematics, Hunan Normal University, Changsha 410081, China

来源：

| 2001年 / Inst. of Computational Mathematics and Sc./Eng. Computing卷 / 19期

关键词：

Interpolation - Lagrange multipliers - Polynomials - Theorem proving;

D O I：

暂无

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学科分类号：

摘要：

As we know, a solution of an extremal problem with Hermite interpolation constraints is a system of nodes of corresponding Gaussian Hermite quadrature formula (the so-called Jacobi approach). But this conclusion is violated for a Birkhoff quadrature formula. In this paper an extremal problem with Birkhoff interpolation constraints is discussed, from which a large class of Birkhoff quadrature formulas may be derived.

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