TY - JOUR
T1 - An Extremal Approach to Birkhoff Quadrature Formulas
AU - Shi , Ying-Guang
JO - Journal of Computational Mathematics
VL - 5
SP - 459
EP - 466
PY - 2001
DA - 2001/10
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8998.html
KW - An extremal approach, Birkhoff quadrature formulas.
AB - <p style="text-align: justify;">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. &nbsp;</p>