High order approximation of degree nine and order eighteen

High order approximation of degree nine and order eighteen

Abstract In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its extrema and zeros are derived.

Bibliographic Details
Main Author: Abedallah Rababah
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of Inequalities and Applications
Subjects:
Bézier curves
High order approximation
Nonic polynomials
Online Access:http://link.springer.com/article/10.1186/s13660-019-2103-x
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spelling doaj-3d22977ec159433bbfdb33d23dd9cc372020-11-25T03:25:14ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-05-012019111010.1186/s13660-019-2103-xHigh order approximation of degree nine and order eighteenAbedallah Rababah0Department of Mathematics and Statistics, Jordan University of Science and TechnologyAbstract In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its extrema and zeros are derived.http://link.springer.com/article/10.1186/s13660-019-2103-xBézier curvesHigh order approximationNonic polynomials
collection DOAJ
language English
format Article
sources DOAJ
author Abedallah Rababah
spellingShingle Abedallah Rababah
High order approximation of degree nine and order eighteen
Journal of Inequalities and Applications
Bézier curves
High order approximation
Nonic polynomials
author_facet Abedallah Rababah
author_sort Abedallah Rababah
title High order approximation of degree nine and order eighteen
title_short High order approximation of degree nine and order eighteen
title_full High order approximation of degree nine and order eighteen
title_fullStr High order approximation of degree nine and order eighteen
title_full_unstemmed High order approximation of degree nine and order eighteen
title_sort high order approximation of degree nine and order eighteen
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2019-05-01
description Abstract In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its extrema and zeros are derived.
topic Bézier curves
High order approximation
Nonic polynomials
url http://link.springer.com/article/10.1186/s13660-019-2103-x
work_keys_str_mv AT abedallahrababah highorderapproximationofdegreenineandordereighteen
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