On minimal cubature formulae for product weight functions Academic Article uri icon

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.

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