Research Article | OPEN ACCESS
Convexity-preserving using Rational Cubic Spline Interpolation
1Samsul Ariffin Abdul Karim and 2Kong Voon Pang
1Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS,
Bandar Seri Iskandar, 31750 Tronoh, Perak Darul Ridzuan, Malaysia
2School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM Minden, Penang, Malaysia
Research Journal of Applied Sciences, Engineering and Technology 2014 3:312-320
Received: October 25, 2013 | Accepted: December 04, 2013 | Published: July 15, 2014
Abstract
This study is a continuation of our previous paper. The rational cubic spline with three parameters has been used to preserves the convexity of the data. The sufficient condition for rational interpolant to be convex on entire subinterval will be developed. The constraint will be on one of the parameter with data dependent meanwhile the other are free parameters and will determine the final shape of the convex curves. Several numerical results will be presented to test the capability of the proposed rational interpolant scheme. Comparisons with the existing scheme also have been done. From all numerical results, the new rational cubic spline interpolant gives satisfactory results.
Keywords:
Convexity-preserving , parameters , rational cubic spline , sufficient condition,
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Competing interests
The authors have no competing interests.
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This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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