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/ http://journalarticle.ukm.my/13329/ http://journalarticle.ukm.my/13329/1/23%20Samsul%20Ariffin%20Abdul%20Karim.pdf

id	ukm-13329
recordtype	eprints
spelling	ukm-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
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
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/ http://journalarticle.ukm.my/13329/ http://journalarticle.ukm.my/13329/1/23%20Samsul%20Ariffin%20Abdul%20Karim.pdf
first_indexed	2023-09-18T20:04:37Z
last_indexed	2023-09-18T20:04:37Z
_version_	1777407074780577792

Constrained interpolation using rational cubic spline with three parameters

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