Local L-Splines Preserving the Differential Operator Kernel

被引：1

作者：

Shevaldina, E. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ul S Kovalevskoi 16, Ekaterinburg 620219, Russia

来源：

NUMERICAL ANALYSIS AND APPLICATIONS | 2010年 / 3卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

local L-splines; differential operator; approximation error;

D O I：

10.1134/S1995423910010106

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Odd-order local L-splines with uniform nodes are constructed. The splines preserve basis functions from the kernel of the linear differential operator L with constant real coefficients and pairwise different roots of the characteristic polynomial. A pointwise error of approximation by the constructed splines on appropriate classes of differentiable functions is given.

引用

页码：90 / 99

页数：10