We give a new poised bivariate Hermite scheme and a formula for the interpolation polynomial. We show that the Hermite interpolation polynomial is the limit of bivariate Lagrange interpolation polynomials at Bos configurations on circles.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-1-1, author = {Phung Van Manh}, title = {On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors}, journal = {Annales Polonici Mathematici}, volume = {113}, year = {2015}, pages = {1-21}, zbl = {1336.41002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-1-1} }
Phung Van Manh. On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors. Annales Polonici Mathematici, Tome 113 (2015) pp. 1-21. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-1-1/