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Lacunary Interpolation at Odd and Even Nodes

by Kulbhushan Singh, Ambrish Kumar Pandey
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 153 - Number 1
Year of Publication: 2016
Authors: Kulbhushan Singh, Ambrish Kumar Pandey
10.5120/ijca2016910026

Kulbhushan Singh, Ambrish Kumar Pandey . Lacunary Interpolation at Odd and Even Nodes. International Journal of Computer Applications. 153, 1 ( Nov 2016), 1-6. DOI=10.5120/ijca2016910026

@article{ 10.5120/ijca2016910026,
author = { Kulbhushan Singh, Ambrish Kumar Pandey },
title = { Lacunary Interpolation at Odd and Even Nodes },
journal = { International Journal of Computer Applications },
issue_date = { Nov 2016 },
volume = { 153 },
number = { 1 },
month = { Nov },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume153/number1/26364-2016910026/ },
doi = { 10.5120/ijca2016910026 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:57:55.933886+05:30
%A Kulbhushan Singh
%A Ambrish Kumar Pandey
%T Lacunary Interpolation at Odd and Even Nodes
%J International Journal of Computer Applications
%@ 0975-8887
%V 153
%N 1
%P 1-6
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Here a special (0, 2; 0, 3) lacunary interpolation scheme is considered where the data are prescribed unevenly at even and odd nodes of an arbitrarily defined partition of the unit interval I =[0,1]. The problem described as, we have the function values and second derivatives at odd nodes, whereas function values and the thirdderivatives ateven nodes are known, weproved that there existsa unique quantic spline of continuity class C2 by solving the above mentioned interpolation scheme. Furthermore, it is also proved that this spline function converges to the given function with the desired order of accuracy.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Lacunary interpolation splines.

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