VECTOR-VALUED LG-SPLINES .1. INTERPOLATING SPLINES

被引：10

作者：

SIDHU, GS ^{[1
]}

WEINERT, HL ^{[1
]}

机构：

[1] JOHNS HOPKINS UNIV,DEPT ELECT ENGN,BALTIMORE,MD 21218

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1979年 / 70卷 / 02期

关键词：

D O I：

10.1016/0022-247X(79)90062-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The theory of Lg-splines developed by Jerome and Schumaker is extended to the vector-valued (multivariate) case. The extension is described in the frame-work of a reproducing-kernel Hilbert space which among other things allows the establishment of a congruent least-squares estimation problem for a vectorvalued lumped random process. The results include a dynamic recursive algorithm for vector-valued Lg-splines with EHB data and a useful structural characterization theorem for such splines. Some results on computable approximation error bounds are also included. © 1979.

引用

页码：505 / 529

页数：25

共 22 条

[1] THEORY OF REPRODUCING KERNELS [J].