Research Article
Convexity Preserving Interpolation by GC2-Rational Cubic Spline
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 84 - Issue 4 |
| Published: December 2013 |
| Authors: M. Dube, P. S. Rana |
10.5120/14561-2685
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M. Dube, P. S. Rana . Convexity Preserving Interpolation by GC2-Rational Cubic Spline. International Journal of Computer Applications. 84, 4 (December 2013), 1-3. DOI=10.5120/14561-2685
@article{ 10.5120/14561-2685,
author = { M. Dube,P. S. Rana },
title = { Convexity Preserving Interpolation by GC2-Rational Cubic Spline },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 84 },
number = { 4 },
pages = { 1-3 },
doi = { 10.5120/14561-2685 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A M. Dube
%A P. S. Rana
%T Convexity Preserving Interpolation by GC2-Rational Cubic Spline%T
%J International Journal of Computer Applications
%V 84
%N 4
%P 1-3
%R 10.5120/14561-2685
%I Foundation of Computer Science (FCS), NY, USA
Abstract
A weighted rational cubic spline interpolation has been constructed using rational spline with quadratic denominator. GC1-piecewise rational cubic spline function involving parameters has been constructed which produces a monotonic interpolant to given monotonic data . The degree of smoothness of this spline is GC2 in the interpolating interval when the parameters satisfy a continuous system. It is observed that under certain conditions the interpolant preserve the convexity property of the data set. We have discussed the constrains for GC2-rational spline interpolant in section. Also the error estimate formula of this interpolation are obtained.
References
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