On interpolation and integration in finite-dimensional spaces of bounded functions
On interpolation and integration in finite-dimensional spaces of bounded functions
复制标题
有界函数有限维空间中的插值和积分
DOI：
10.2140/camcos.2006.1.133
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. Tygert
中科院分区：
文献类型：
--
作者：
P. Martinsson;V. Rokhlin;M. Tygert
摘要：我们观察到，在非常温和的条件下，一个n维空间的功能（有限n）承认数值稳定的n点插值和积分公式。证明完全依赖于线性代数，几乎独立于域和函数的插值。
Abstract : We observe that, under very mild conditions, an n-dimensional space of functions (with a finite n) admits numerically stable n-point interpolation and integration formulae. The proof relies entirely on linear algebra, and is virtually independent of the domain and of the functions to be interpolated.