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.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2103-x |
| _version_ | 1818470499100917760 |
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| author | Abedallah Rababah |
| author_facet | Abedallah Rababah |
| author_sort | Abedallah Rababah |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T21:37:51Z |
| format | Article |
| id | doaj.art-3d22977ec159433bbfdb33d23dd9cc37 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T21:37:51Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-3d22977ec159433bbfdb33d23dd9cc372022-12-22T02:28:52ZengSpringerOpenJournal 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 |
| spellingShingle | Abedallah Rababah High order approximation of degree nine and order eighteen Journal of Inequalities and Applications Bézier curves High order approximation Nonic polynomials |
| title | 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_short | High order approximation of degree nine and order eighteen |
| title_sort | high order approximation of degree nine and order eighteen |
| 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 |