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

页码：139 / 148

页数：10

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