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Extrapolation of Cubic Splines in General with Multiple Knots

by Manprit Kaur
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 181 - Number 39
Year of Publication: 2019
Authors: Manprit Kaur
10.5120/ijca2019918375

Manprit Kaur . Extrapolation of Cubic Splines in General with Multiple Knots. International Journal of Computer Applications. 181, 39 ( Jan 2019), 16-18. DOI=10.5120/ijca2019918375

@article{ 10.5120/ijca2019918375,
author = { Manprit Kaur },
title = { Extrapolation of Cubic Splines in General with Multiple Knots },
journal = { International Journal of Computer Applications },
issue_date = { Jan 2019 },
volume = { 181 },
number = { 39 },
month = { Jan },
year = { 2019 },
issn = { 0975-8887 },
pages = { 16-18 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume181/number39/30321-2019918375/ },
doi = { 10.5120/ijca2019918375 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:08:35.924073+05:30
%A Manprit Kaur
%T Extrapolation of Cubic Splines in General with Multiple Knots
%J International Journal of Computer Applications
%@ 0975-8887
%V 181
%N 39
%P 16-18
%D 2019
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we consider certain cubic pp functions which satisfy a less stringent discrete extrapolating condition si(xi+jh) = si+1(xi+jh), i = 1,2,…,n-1 for j = -1,0,1 and are therefore less restrictive than the discrete cubic splines. The existence and uniqueness of periodic extrapolated cubic splines with multiple knots which interpolate to a given functions at more general points interior to each given mesh interval had been investigated.

References
  1. Ahlberg, J. H, Nilson, E. N., and Walsh, J. L. The Theory of Splines and their Applications , Academic press, New York and London, (1967).
  2. Boor, C.de, A practice guide to Splines, Springer-Verlag, New York, 1978.
  3. Mangasarian, O.L and Schumaker, L.L, Discrete Splines via Mathematical Programming, SIAM J.Control, 9(1971), 174-183.
  4. Chatterjee, Aruna, Thesis,(1980), Chapter I and Chapter IV.
Index Terms

Computer Science
Information Sciences

Keywords

Splines Extrapolation Cubic pp functions

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