ON LOCAL AND CONTROLLED APPROXIMATION ORDER

被引：10

作者：

HALTON, EJ ^{[1
]}

LIGHT, WA ^{[1
]}

机构：

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

来源：

JOURNAL OF APPROXIMATION THEORY | 1993年 / 72卷 / 03期

关键词：

D O I：

10.1006/jath.1993.1021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with approximations to smooth functions by objects which are essentially discrete convolutions. The purpose is to get error estimates for the approximation power of dilates of these convolutions in terms of the dilation parameter h. The paper does this via the well-known Strang-Fix conditions, but there are some important modifications to previous treatments of this theory. In particular, the function used to generate the discrete convolution may or may not have compact support. The paper obtains a coherent theory for both these cases. © 1993 Academic Press, Inc.

引用

页码：268 / 277

页数：10

共 6 条

[1]

CHENEY EW, 1992, CONSTR APPROX, V8, P35

[2] ON THE APPROXIMATION ORDER FROM CERTAIN MULTIVARIATE SPLINE SPACES [J].