QUASI-INTERPOLATION WITH TRANSLATES OF A FUNCTION HAVING NONCOMPACT SUPPORT

被引：39

作者：

LIGHT, WA

CHENEY, EW

机构：

[1] UNIV LEICESTER,DEPT MATH,LEICESTER LE1 7RH,ENGLAND

[2] UNIV TEXAS,DEPT MATH,AUSTIN,TX 78712

来源：

CONSTRUCTIVE APPROXIMATION | 1992年 / 8卷 / 01期

关键词：

CONTROLLED APPROXIMATION; QUASI-INTERPOLATION; STRANG FIX THEORY; MULTIVARIATE APPROXIMATION;

D O I：

10.1007/BF01208904

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a result related to a theorem of de Boor and Jia [1]. Their theorem, in turn, corrected and extended a result of Fix and Strang [5] concerning controlled approximation. In our result, the approximating functions are not required to have compact support, but satisfy instead conditions on their behavior at infinity. Our theorem includes some recent results of Jackson [6] and is closely related to the work of Buhmann [2].

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页码：35 / 48

页数：14

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