✦ LIBER ✦

On minimal cubature formulae for product weight functions

✍ Scribed by Borislav Bojanov; Guergana Petrova

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 351 KB
Volume: 85
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00133-7

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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