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Solution of a Birkhoff Interpolation Problem by a Special Spline Function

by Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 48 - Number 9
Year of Publication: 2012
Authors: Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad
10.5120/7376-0174

Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad . Solution of a Birkhoff Interpolation Problem by a Special Spline Function. International Journal of Computer Applications. 48, 9 ( June 2012), 22-27. DOI=10.5120/7376-0174

@article{ 10.5120/7376-0174,
author = { Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad },
title = { Solution of a Birkhoff Interpolation Problem by a Special Spline Function },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 48 },
number = { 9 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 22-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume48/number9/7376-0174/ },
doi = { 10.5120/7376-0174 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:43:38.099271+05:30
%A Ambrish Kumar Pandey
%A K. B. Singh
%A Qazi Shoeb Ahmad
%T Solution of a Birkhoff Interpolation Problem by a Special Spline Function
%J International Journal of Computer Applications
%@ 0975-8887
%V 48
%N 9
%P 22-27
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we have discussed a special lacunary interpolation problem in which the function values, first derivatives at the nodes and the third derivatives at any point ? (0 in between the nodes are prescribed. We have solved the unique existence and convergence problems, using spline functions. As this holds for any ? (0 we named it a generalized problem.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Lacunary Interpolation Spline Functions

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