Interpolation at a few points

被引：3
|
作者：
Wulbert, D [1 ]
机构：
[1] Univ Calif San Diego, Dept Math 0112, La Jolla, CA 92093 USA
来源：
JOURNAL OF APPROXIMATION THEORY | 1999年 / 96卷 / 01期
关键词：
D O I：
10.1006/jath.1998.3224
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For k=2 and 3, B. Shekhtman proved that n + k-1 is the smallest dimension of a subspace, F subset of or equal to C(R(n)) that can interpolate to k specified real values at k distinct points in R(n). Here we characterize such spaces that interpolate at a few points. The characterization provides an economical proof of Shekhtman's theorems, as well as establishing new properties of these spaces. (C) 1999 Academic Press.
引用
收藏
页码：139 / 148
页数：10
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