On the Lp-error of adaptive approximation of bivariate functions by ha onic splines

被引：1

作者：

Babenko, Yuliya ^{[1
]}

Leskevych, Tetiana ^{[2
]}

机构：

[1] Kennesaw State Univ, Dept Math & Stat, Kennesaw, GA 30344 USA

[2] Dnepropetrovsk Natl Univ, Dept Math Anal & Theory Funct, UA-49050 Dnepropetrovsk, Ukraine

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 01期

关键词：

interpolation; adaptive; harmonic spline; optimal error; asymptotics; 41A15; 41A60; 68W25; 97N50;

D O I：

10.1080/00036811.2013.766323

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Interpolation by various types of splines is the standard procedure in many applications. In this paper we discuss harmonic spline interpolation (on the lines of a grid) as an alternative to polynomial spline interpolation (at vertices of a grid). We will discuss some advantages and drawbacks of this approach and present the asymptotics of the L-p-error for adaptive approximation by harmonic splines.

引用

页码：171 / 189

页数：19