A Smoothening Method for the Piecewise Linear Interpolation
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-26
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose a method to smoothen a piecewise linear interpolation at a small number of nodes on a bounded interval.
The method employs a sigmoidal type weight function having a property that clusters most points on the left side of the interval toward 0 and those on the right side toward 1.
The proposed method results in a noninterpolatory approximation which is smooth over the whole interval.
We provide an algorithm for implementing the presented smoothening method.
To demonstrate usefulness of the presented methodwe introduce some numerical examples and investigate the results.
American Psychological Association (APA)
Yun, Beong In. 2015. A Smoothening Method for the Piecewise Linear Interpolation. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1067082
Modern Language Association (MLA)
Yun, Beong In. A Smoothening Method for the Piecewise Linear Interpolation. Journal of Applied Mathematics No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1067082
American Medical Association (AMA)
Yun, Beong In. A Smoothening Method for the Piecewise Linear Interpolation. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1067082
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067082