@Article{JCM-19-459, author = {Shi , Ying-Guang}, title = {An Extremal Approach to Birkhoff Quadrature Formulas}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {5}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8998.html} }