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Minimal cubature formulae for a family of radial weight functions
Authors:Xu  Yuan
Affiliation:(1) Department of Mathematics, University of Oregon, Eugene, OR, 97403-1222
Abstract:For each fixed n a radial weight function on 
$$mathbb{R}^2 $$
is given in closed form which admits minimal cubature formulae of both even and odd degree. The connection between the cubature formula and the polynomial interpolation is discussed in detail. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:cubature formula  radial weight functions  minimal cubature  interpolation  65D32  65D05  41A05
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