Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2018-02-01

Journal: Journal of Computational and Applied Mathematics

Included Journals: Scopus、CPCI-S、EI、SCIE

Volume: 329

Page Number: 173-178

ISSN: 03770427

Key Words: Piecewise linear approximation; Sampling sites; Normal distribution

Abstract: 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.