AN EXTREMAL APPROACH TO BIRKHOFF QUADRATURE FORMULAS

• 来源期刊: 计算数学(英文版)
• 学科: 数学
• 关键词: An extremal approach Birkhoff quadrature formulas.
• 年，卷（期）: 2001,（5）
• 页码范围: 458-466
• 页数: 9页
• 分类号: O1
• 语种: 英文

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.