Approximation by piecewise constant functions on a square

被引：0
|
作者：
Kochurov, AS [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow 117234, Russia
来源：
MATHEMATICAL NOTES | 2004年 / 75卷 / 3-4期
关键词：
approximation; Lagrange spline; order-sharp estimate; piecewise constant function; approximation rate;
D O I：
10.1023/B:MATN.0000023336.90664.15
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider several algorithms for approximating functions defined on the unit square I = [0, 1](2) and ranging in R-2. We use functions of zeroth-order Lagrange spline type as the approximation apparatus. They differ from the standard Lagrange splines on the plane by the rule for choosing grid lines according to which the spline is constructed; namely, a set of one-dimensional splines is used instead of a family of parallel lines determining the interpolation nodes.
引用
收藏
页码：553 / 562
页数：10
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