Minimal cubature formulae for a family of radial weight functions

被引：9
|
作者：
Xu, Y [1 ]
机构：
[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 1998年 / 8卷 / 04期
基金：
美国国家科学基金会;
关键词：
cubature formula; radial weight functions; minimal cubature; interpolation;
D O I：
10.1023/A:1018964818105
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For each fixed n a radial weight function on 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.
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页码：367 / 380
页数：14
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