点击次数：

论文类型：期刊论文

发表时间：2018-02-01

发表刊物：Journal of Computational and Applied Mathematics

收录刊物：SCIE、EI、CPCI-S、Scopus

卷号：329

页面范围：173-178

ISSN号：03770427

关键字：Piecewise linear approximation; Sampling sites; Normal distribution

摘要：We study a generalization of the classical piecewise linear approximation methods with equally spaced breaks by considering the sampling sites as random variables. The new methods are motivated by the facts that real-world data collected from what are perceived to be equally spaced sites suffer from random errors due to measurement inaccuracies and other known or unknown factors. We establish error estimates and convergence results under practical assumptions about the distribution of the sampling sites. ? 2017 Elsevier B.V.