Proceedings of the 2016 International Conference on Education, Management, Computer and Society

Note on Equidistant Polynomial Interpolation

Authors
Shang Gao, Qiang Qian
Corresponding Author
Shang Gao
Available Online January 2016.
DOI
10.2991/emcs-16.2016.517How to use a DOI?
Keywords
Polynomial interpolation; Equidistant interpolation; Lagrange interpolation; Newton interpolation
Abstract

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. Based on analysis of basic polynomial interpolation, the equidistant polynomial interpolation problem is studied. Simple divided difference is given and it is proved by mathematical induction. The computation is smaller than the traditional method. At last, this calculation method is illustrated through an example.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 International Conference on Education, Management, Computer and Society
Series
Advances in Computer Science Research
Publication Date
January 2016
ISBN
10.2991/emcs-16.2016.517
ISSN
2352-538X
DOI
10.2991/emcs-16.2016.517How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Shang Gao
AU  - Qiang Qian
PY  - 2016/01
DA  - 2016/01
TI  - Note on Equidistant Polynomial Interpolation
BT  - Proceedings of the 2016 International Conference on Education, Management, Computer and Society
PB  - Atlantis Press
SP  - 2059
EP  - 2062
SN  - 2352-538X
UR  - https://doi.org/10.2991/emcs-16.2016.517
DO  - 10.2991/emcs-16.2016.517
ID  - Gao2016/01
ER  -