Year: 2001
Author: Ying-Guang Shi
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 5 : pp. 459–466
Abstract
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8998
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 5 : pp. 459–466
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: An extremal approach Birkhoff quadrature formulas.