Analysis of Geometric Properties of Ternary Four-Point Rational Interpolating Subdivision Scheme
| dc.contributor.author | Nawaz, Bushra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nisar, Kottakkaran Sooppy | |
| dc.contributor.author | Ghaffar, Abdul | |
| dc.contributor.author | Khan, Muhammad Aqeel Ahmed | |
| dc.contributor.author | Akram, Saima | |
| dc.contributor.author | Ashraf, Pakeeza | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2020-05-13T09:51:03Z | |
| dc.date.accessioned | 2025-09-18T16:08:16Z | |
| dc.date.available | 2020-05-13T09:51:03Z | |
| dc.date.available | 2025-09-18T16:08:16Z | |
| dc.date.issued | 2020 | |
| dc.description | Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320; Akram, Saima/0000-0001-6434-7650; Ghaffar, Abdul/0000-0002-5994-8440 | en_US |
| dc.description.abstract | Shape preservation has been the heart of subdivision schemes (SSs) almost from its origin, and several analyses of SSs have been established. Shape preservation properties are commonly used in SSs and various ways have been discovered to connect smooth curves/surfaces generated by SSs to applied geometry. With an eye on connecting the link between SSs and applied geometry, this paper analyzes the geometric properties of a ternary four-point rational interpolating subdivision scheme. These geometric properties include monotonicity-preservation, convexity-preservation, and curvature of the limit curve. Necessary conditions are derived on parameter and initial control points to ensure monotonicity and convexity preservation of the limit curve of the scheme. Furthermore, we analyze the curvature of the limit curve of the scheme for various choices of the parameter. To support our findings, we also present some examples and their graphical representation. | en_US |
| dc.description.publishedMonth | 3 | |
| dc.identifier.citation | Ashraf, P...et al. (2020). "Analysis of Homotopy Perturbation Method for Solving Fractional Order Differential Equations",Mathematics, Vol. 8, No. 3. | en_US |
| dc.identifier.doi | 10.3390/math8030338 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85082416191 | |
| dc.identifier.uri | https://doi.org/10.3390/math8030338 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15006 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Monotonicity-Preservation | en_US |
| dc.subject | Convexity-Preservation | en_US |
| dc.subject | Curvature | en_US |
| dc.subject | Rational Interpolating | en_US |
| dc.subject | Subdivision Schemes | en_US |
| dc.subject | 65D17 | en_US |
| dc.subject | 65D05 | en_US |
| dc.subject | 65U07 | en_US |
| dc.title | Analysis of Geometric Properties of Ternary Four-Point Rational Interpolating Subdivision Scheme | en_US |
| dc.title | Analysis of Geometric Properties of Ternary Four-Point Rational Interpolating Subdivision Scheme | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320 | |
| gdc.author.id | Akram, Saima/0000-0001-6434-7650 | |
| gdc.author.id | Ghaffar, Abdul/0000-0002-5994-8440 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 55502560600 | |
| gdc.author.scopusid | 55844235100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 56715663200 | |
| gdc.author.scopusid | 57220518546 | |
| gdc.author.scopusid | 7410320147 | |
| gdc.author.wosid | Akram, Saima/Aaj-4419-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Ghaffar, Abdul/Aab-3751-2020 | |
| gdc.author.wosid | Nisar, Prof. Kottakkaran Sooppy/F-7559-2015 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ashraf, Pakeeza; Nawaz, Bushra] Govt Sadiq Coll Women Univ, Dept Math, Bahawalpur 63100, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan; [Nisar, Kottakkaran Sooppy] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawaser 11991, Saudi Arabia; [Ghaffar, Abdul] Ton Duc Thang Univ, Informetr Res Grp, Ho Chi Minh City 700000, Vietnam; [Ghaffar, Abdul] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City 700000, Vietnam; [Khan, Muhammad Aqeel Ahmed] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore 54000, Pakistan; [Akram, Saima] Bahauddin Zakariya Univ Multan, Ctr Adv Studies Pure & Appl Math, Multan 66000, Pakistan | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 8 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3010380101 | |
| gdc.identifier.wos | WOS:000524085900037 | |
| gdc.openalex.fwci | 2.61412032 | |
| gdc.openalex.normalizedpercentile | 0.89 | |
| gdc.opencitations.count | 16 | |
| gdc.plumx.crossrefcites | 18 | |
| gdc.plumx.mendeley | 2 | |
| gdc.plumx.scopuscites | 18 | |
| gdc.scopus.citedcount | 18 | |
| gdc.wos.citedcount | 13 | |
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