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A Shape-Preserving Variant of Lane-Riesenfeld Algorithm

dc.contributor.author Mustafa, Ghulam
dc.contributor.author Khan, Husna A.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Ghaffar, Abdul
dc.contributor.author Nisar, Kottakkaran Sooppy
dc.contributor.author Ashraf, Pakeeza
dc.date.accessioned 2022-03-07T13:38:16Z
dc.date.accessioned 2025-09-18T15:44:49Z
dc.date.available 2022-03-07T13:38:16Z
dc.date.available 2025-09-18T15:44:49Z
dc.date.issued 2021
dc.description Ghaffar, Abdul/0000-0002-5994-8440; Mustafa, Ghulam/0000-0002-0441-8485 en_US
dc.description.abstract This paper introduces a family of shape-preserving binary approximating subdivision schemes by applying a shape-preserving variant on the Lane-Riesenfeld algorithm. Using the symbols of subdivision schemes, we determine convergence and smoothness, Holder continuity, and support size of the limit curves. Furthermore, these schemes produce monotonic and convex curves under the certain conditions imposed on the initial data. en_US
dc.identifier.citation Ashraf, Pakeeza...et al. (2021). "A shape-preserving variant of Lane-Riesenfeld algorithm", AIMS Mathematics, Vol. 6, No. 3, pp. 2152-2170. en_US
dc.identifier.doi 10.3934/math.2021131
dc.identifier.issn 2473-6988
dc.identifier.scopus 2-s2.0-85097555067
dc.identifier.uri https://doi.org/10.3934/math.2021131
dc.identifier.uri https://hdl.handle.net/20.500.12416/14416
dc.language.iso en en_US
dc.publisher Amer inst Mathematical Sciences-aims en_US
dc.relation.ispartof AIMS Mathematics
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Lane-Riesenfeld Algorithm en_US
dc.subject Subdivision Scheme en_US
dc.subject Smoothness en_US
dc.subject Shape Preservation en_US
dc.title A Shape-Preserving Variant of Lane-Riesenfeld Algorithm en_US
dc.title A shape-preserving variant of Lane-Riesenfeld algorithm tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Ghaffar, Abdul/0000-0002-5994-8440
gdc.author.id Mustafa, Ghulam/0000-0002-0441-8485
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gdc.author.scopusid 57220518546
gdc.author.scopusid 56715663200
gdc.author.wosid Nisar, Kottakkaran/F-7559-2015
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Ghaffar, Abdul/Aab-3751-2020
gdc.author.wosid Mustafa, Ghulam/Abh-1050-2020
gdc.author.yokid 56389
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gdc.bip.popularityclass C4
gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Ashraf, Pakeeza] Women Univ, Govt Sadiq Coll, Dept Math, Bahawalpur, Pakistan; [Mustafa, Ghulam; Khan, Husna A.] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, 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; [Ghaffar, Abdul] Minhaj Univ Lahore, Sch Math, Lahore, Pakistan; [Nisar, Kottakkaran Sooppy] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Al Kharj 11991, Saudi Arabia en_US
gdc.description.endpage 2170 en_US
gdc.description.issue 3 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 2152 en_US
gdc.description.volume 6 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W3111408658
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gdc.index.type Scopus
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gdc.oaire.impulse 2.0
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gdc.oaire.keywords Economics
gdc.oaire.keywords Computational Mechanics
gdc.oaire.keywords FOS: Mechanical engineering
gdc.oaire.keywords Geometry
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Engineering
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Civil engineering
gdc.oaire.keywords subdivision scheme
gdc.oaire.keywords Isogeometric Analysis in Computational Engineering
gdc.oaire.keywords Advanced Monitoring of Machining Operations
gdc.oaire.keywords Economic growth
gdc.oaire.keywords Arithmetic
gdc.oaire.keywords Mechanical Engineering
gdc.oaire.keywords lane-riesenfeld algorithm
gdc.oaire.keywords Mathematical optimization
gdc.oaire.keywords Shape Optimization
gdc.oaire.keywords Limit (mathematics)
gdc.oaire.keywords Smoothness
gdc.oaire.keywords Computer science
gdc.oaire.keywords Algorithm
gdc.oaire.keywords Regular polygon
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Convergence (economics)
gdc.oaire.keywords Subdivision
gdc.oaire.keywords Surface Texturing for Tribology
gdc.oaire.keywords smoothness
gdc.oaire.keywords shape preservation
gdc.oaire.keywords Binary number
gdc.oaire.keywords Monotonic function
gdc.oaire.keywords Mathematics
gdc.oaire.keywords FOS: Civil engineering
gdc.oaire.keywords Numerical computation using splines
gdc.oaire.keywords Computer-aided design (modeling of curves and surfaces)
gdc.oaire.keywords Lane-Riesenfeld algorithm
gdc.oaire.keywords Numerical aspects of computer graphics, image analysis, and computational geometry
gdc.oaire.popularity 4.4055146E-9
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gdc.oaire.sciencefields 02 engineering and technology
gdc.oaire.sciencefields 01 natural sciences
gdc.oaire.sciencefields 0202 electrical engineering, electronic engineering, information engineering
gdc.oaire.sciencefields 0101 mathematics
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gdc.virtual.author Baleanu, Dumitru
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