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Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem

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International Journal of Computer Applications
© 2014 by IJCA Journal
Volume 99 - Number 3
Year of Publication: 2014
Authors:
Kulbhushan Singh
Ambrish Kumar Pandey
10.5120/17357-7866

Kulbhushan Singh and Ambrish Kumar Pandey. Article: Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem. International Journal of Computer Applications 99(3):48-50, August 2014. Full text available. BibTeX

@article{key:article,
	author = {Kulbhushan Singh and Ambrish Kumar Pandey},
	title = {Article: Using a Quartic Spline Function for Certain Birkhoff Interpolation Problem},
	journal = {International Journal of Computer Applications},
	year = {2014},
	volume = {99},
	number = {3},
	pages = {48-50},
	month = {August},
	note = {Full text available}
}

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.

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