On minimal cubature formulae for product weight functions Academic Article

abstract

• We derive in a simple way certain minimal cubature formulae, obtained by Morrow and Patterson [2], and Xu [4], using a different technique. We also obtain in explicit form new near minimal cubature formulae. Then, as a corollary, we get a compact expression for the bivariate Lagrange interpolation polynomials, based on the nodes of the cubature.

authors

• Petrova, Guergana

published proceedings

• Journal of Computational and Applied Mathematics

author list (cited authors)

• Bojanov, B., & Petrova, G.

citation count

• 17

complete list of authors

• Bojanov, Borislav||Petrova, Guergana

publication date

• January 1997

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

Digital Object Identifier (DOI)

• 10.1016/s0377-0427(97)00133-7

start page

• 113

end page

• 121

volume

• 85

issue

• 1

URL

• http://dx.doi.org/10.1016/s0377-0427(97)00133-7