Research Article
Solution of a Birkhoff Interpolation Problem by a Special Spline Function
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 48 - Issue 9 |
| Published: June 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 },
year = { 2012 },
volume = { 48 },
number = { 9 },
pages = { 22-27 },
doi = { 10.5120/7376-0174 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2012
%A Ambrish Kumar Pandey
%A K. B. Singh
%A Qazi Shoeb Ahmad
%T Solution of a Birkhoff Interpolation Problem by a Special Spline Function%T
%J International Journal of Computer Applications
%V 48
%N 9
%P 22-27
%R 10.5120/7376-0174
%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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