Convergence of Integro Quartic and Sextic B-Spline interpolation
In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolatio...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2018-04-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | http://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf |
| _version_ | 1818132485918162944 |
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| author | Jafar Ahmadi Shali Ahmadreza Haghighi Nasim Asghary Elham Soleymani |
| author_facet | Jafar Ahmadi Shali Ahmadreza Haghighi Nasim Asghary Elham Soleymani |
| author_sort | Jafar Ahmadi Shali |
| collection | DOAJ |
| description | In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is discussed. The interpolation errors are studied. Numerical results illustrate the efficiency and effectiveness of the new interpolation method. |
| first_indexed | 2024-12-11T08:37:35Z |
| format | Article |
| id | doaj.art-4187b46849e140c3bde47fed5c8b26c3 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-11T08:37:35Z |
| publishDate | 2018-04-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-4187b46849e140c3bde47fed5c8b26c32022-12-22T01:14:19ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002018-04-011019710810.22130/scma.2017.2715327153Convergence of Integro Quartic and Sextic B-Spline interpolationJafar Ahmadi Shali0Ahmadreza Haghighi1Nasim Asghary2Elham Soleymani3Department of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.Department of Mathematics, Faculty of Science, Technical and Vocational University(TVU), Tehran, Iran and Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia-Iran.Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia, Iran.In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is discussed. The interpolation errors are studied. Numerical results illustrate the efficiency and effectiveness of the new interpolation method.http://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdfIntegro interpolation quartic B-splineIntegro interpolation sextic B-splineConvergence |
| spellingShingle | Jafar Ahmadi Shali Ahmadreza Haghighi Nasim Asghary Elham Soleymani Convergence of Integro Quartic and Sextic B-Spline interpolation Sahand Communications in Mathematical Analysis Integro interpolation quartic B-spline Integro interpolation sextic B-spline Convergence |
| title | Convergence of Integro Quartic and Sextic B-Spline interpolation |
| title_full | Convergence of Integro Quartic and Sextic B-Spline interpolation |
| title_fullStr | Convergence of Integro Quartic and Sextic B-Spline interpolation |
| title_full_unstemmed | Convergence of Integro Quartic and Sextic B-Spline interpolation |
| title_short | Convergence of Integro Quartic and Sextic B-Spline interpolation |
| title_sort | convergence of integro quartic and sextic b spline interpolation |
| topic | Integro interpolation quartic B-spline Integro interpolation sextic B-spline Convergence |
| url | http://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf |
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