Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes
In this paper, a generalized algorithm to develop a class of approximating binary subdivision schemes is presented. The proposed algorithm is based on three-point approximating binary and four-point interpolating binary subdivision schemes. It contains a parameter which classifies members of the new...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6677778 |
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| author | Pakeeza Ashraf Ghulam Mustafa Abdul Ghaffar Rida Zahra Kottakkaran Sooppy Nisar Emad E. Mahmoud Wedad R. Alharbi |
| author_facet | Pakeeza Ashraf Ghulam Mustafa Abdul Ghaffar Rida Zahra Kottakkaran Sooppy Nisar Emad E. Mahmoud Wedad R. Alharbi |
| author_sort | Pakeeza Ashraf |
| collection | DOAJ |
| description | In this paper, a generalized algorithm to develop a class of approximating binary subdivision schemes is presented. The proposed algorithm is based on three-point approximating binary and four-point interpolating binary subdivision schemes. It contains a parameter which classifies members of the new class of subdivision schemes. A set of efficient properties, for instance, polynomial generation and reproduction, support, continuity, and Hölder continuity, is discussed. Moreover, applications of the proposed subdivision schemes are given in order to demonstrate their variety, flexibility, and visual performance. |
| format | Article |
| id | doaj-art-c5cc43db1a7a47d1b9d68012e4f3b08e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c5cc43db1a7a47d1b9d68012e4f3b08e2025-02-03T06:46:58ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/66777786677778Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision SchemesPakeeza Ashraf0Ghulam Mustafa1Abdul Ghaffar2Rida Zahra3Kottakkaran Sooppy Nisar4Emad E. Mahmoud5Wedad R. Alharbi6Department of Mathematics, Government Sadiq College Women University, Bahawalpur 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanInformetrics Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099 Taif 21944, Saudi ArabiaPhysics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi ArabiaIn this paper, a generalized algorithm to develop a class of approximating binary subdivision schemes is presented. The proposed algorithm is based on three-point approximating binary and four-point interpolating binary subdivision schemes. It contains a parameter which classifies members of the new class of subdivision schemes. A set of efficient properties, for instance, polynomial generation and reproduction, support, continuity, and Hölder continuity, is discussed. Moreover, applications of the proposed subdivision schemes are given in order to demonstrate their variety, flexibility, and visual performance.http://dx.doi.org/10.1155/2020/6677778 |
| spellingShingle | Pakeeza Ashraf Ghulam Mustafa Abdul Ghaffar Rida Zahra Kottakkaran Sooppy Nisar Emad E. Mahmoud Wedad R. Alharbi Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes Journal of Function Spaces |
| title | Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes |
| title_full | Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes |
| title_fullStr | Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes |
| title_full_unstemmed | Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes |
| title_short | Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes |
| title_sort | unified framework of approximating and interpolatory subdivision schemes for construction of class of binary subdivision schemes |
| url | http://dx.doi.org/10.1155/2020/6677778 |
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