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...
| 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/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: |
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. |
|---|