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Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem

by Kulbhushan Singh, Ambrish Kumar Pandey
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 99 - Number 3
Year of Publication: 2014
Authors: Kulbhushan Singh, Ambrish Kumar Pandey
10.5120/17357-7866

Kulbhushan Singh, Ambrish Kumar Pandey . Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem. International Journal of Computer Applications. 99, 3 ( August 2014), 48-50. DOI=10.5120/17357-7866

@article{ 10.5120/17357-7866,
author = { Kulbhushan Singh, Ambrish Kumar Pandey },
title = { Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem },
journal = { International Journal of Computer Applications },
issue_date = { August 2014 },
volume = { 99 },
number = { 3 },
month = { August },
year = { 2014 },
issn = { 0975-8887 },
pages = { 48-50 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume99/number3/17357-7866/ },
doi = { 10.5120/17357-7866 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:27:16.469917+05:30
%A Kulbhushan Singh
%A Ambrish Kumar Pandey
%T Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 99
%N 3
%P 48-50
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Let f be a real valued function defined in [0, 1], with values known at intermediate points such that the first derivatives of f at all nodes are also known at intermediate points. In this paper, we construct an interpolatory quartic spline s which interpolates the function f. Unique existence and convergence of this spline are also established. This type of construction is known to have found aesthetic utility in finding areas under or bounded by polynomial curves.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Lacunary interpolation spline diagonal dominance

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