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Constrained interpolation using rational cubic spline with three parameters

The C1 rational cubic spline function (cubic/quadratic) with three parameters is used to construct a constrained interpolating curve that lies below or above an arbitrary straight line or between two straight lines. The data dependent sufficient conditions for the rational cubic interpolant bounded...

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Main Authors: Samsul Ariffin Abdul Karim,, Mohammad Khatim Hasan,, Ishak Hashim,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2019
Online Access:http://journalarticle.ukm.my/13329/1/23%20Samsul%20Ariffin%20Abdul%20Karim.pdf
http://journalarticle.ukm.my/13329/
http://www.ukm.my/jsm/malay_journals/jilid48bil3_2019/KandunganJilid48Bil3_2019.html
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spelling my-ukm.journal.133292019-08-29T21:45:54Z http://journalarticle.ukm.my/13329/ Constrained interpolation using rational cubic spline with three parameters Samsul Ariffin Abdul Karim, Mohammad Khatim Hasan, Ishak Hashim, The C1 rational cubic spline function (cubic/quadratic) with three parameters is used to construct a constrained interpolating curve that lies below or above an arbitrary straight line or between two straight lines. The data dependent sufficient conditions for the rational cubic interpolant bounded by two straight lines are derived on one parameter, while the other two are free parameters that will be useful for shape modification. Some numerical results will be presented by using Mathematica software. Comparison with some existing schemes shows that the proposed scheme outperforms the existing schemes. Penerbit Universiti Kebangsaan Malaysia 2019-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/13329/1/23%20Samsul%20Ariffin%20Abdul%20Karim.pdf Samsul Ariffin Abdul Karim, and Mohammad Khatim Hasan, and Ishak Hashim, (2019) Constrained interpolation using rational cubic spline with three parameters. Sains Malaysiana, 48 (3). pp. 685-695. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid48bil3_2019/KandunganJilid48Bil3_2019.html
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description The C1 rational cubic spline function (cubic/quadratic) with three parameters is used to construct a constrained interpolating curve that lies below or above an arbitrary straight line or between two straight lines. The data dependent sufficient conditions for the rational cubic interpolant bounded by two straight lines are derived on one parameter, while the other two are free parameters that will be useful for shape modification. Some numerical results will be presented by using Mathematica software. Comparison with some existing schemes shows that the proposed scheme outperforms the existing schemes.
format Article
author Samsul Ariffin Abdul Karim,
Mohammad Khatim Hasan,
Ishak Hashim,
spellingShingle Samsul Ariffin Abdul Karim,
Mohammad Khatim Hasan,
Ishak Hashim,
Constrained interpolation using rational cubic spline with three parameters
author_facet Samsul Ariffin Abdul Karim,
Mohammad Khatim Hasan,
Ishak Hashim,
author_sort Samsul Ariffin Abdul Karim,
title Constrained interpolation using rational cubic spline with three parameters
title_short Constrained interpolation using rational cubic spline with three parameters
title_full Constrained interpolation using rational cubic spline with three parameters
title_fullStr Constrained interpolation using rational cubic spline with three parameters
title_full_unstemmed Constrained interpolation using rational cubic spline with three parameters
title_sort constrained interpolation using rational cubic spline with three parameters
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2019
url http://journalarticle.ukm.my/13329/1/23%20Samsul%20Ariffin%20Abdul%20Karim.pdf
http://journalarticle.ukm.my/13329/
http://www.ukm.my/jsm/malay_journals/jilid48bil3_2019/KandunganJilid48Bil3_2019.html
_version_ 1643739044670078976
score 13.160551

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