Convexity-preserving using rational cubic spline interpolation

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 param...

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Main Authors: Karim, S.A.A., Kong, V.P.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.32027 /
Published: Maxwell Science Publications 2014
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84908575206&doi=10.19026%2frjaset.8.975&partnerID=40&md5=ec49d80955e6e625cf28898b5764da4e
http://eprints.utp.edu.my/32027/
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spelling utp-eprints.320272022-03-29T04:06:47Z Convexity-preserving using rational cubic spline interpolation Karim, S.A.A. Kong, V.P. 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. © Maxwell Scientific Organization, 2014. Maxwell Science Publications 2014 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84908575206&doi=10.19026%2frjaset.8.975&partnerID=40&md5=ec49d80955e6e625cf28898b5764da4e Karim, S.A.A. and Kong, V.P. (2014) Convexity-preserving using rational cubic spline interpolation. Research Journal of Applied Sciences, Engineering and Technology, 8 (3). pp. 312-320. http://eprints.utp.edu.my/32027/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description 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. © Maxwell Scientific Organization, 2014.
format Article
author Karim, S.A.A.
Kong, V.P.
spellingShingle Karim, S.A.A.
Kong, V.P.
Convexity-preserving using rational cubic spline interpolation
author_sort Karim, S.A.A.
title Convexity-preserving using rational cubic spline interpolation
title_short Convexity-preserving using rational cubic spline interpolation
title_full Convexity-preserving using rational cubic spline interpolation
title_fullStr Convexity-preserving using rational cubic spline interpolation
title_full_unstemmed Convexity-preserving using rational cubic spline interpolation
title_sort convexity-preserving using rational cubic spline interpolation
publisher Maxwell Science Publications
publishDate 2014
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84908575206&doi=10.19026%2frjaset.8.975&partnerID=40&md5=ec49d80955e6e625cf28898b5764da4e
http://eprints.utp.edu.my/32027/
_version_ 1741197676435734528
score 11.62408

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