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The Inequalities for the Analysis of a Class of Ternary Refinement Schemes

dc.contributor.author Ejaz, Syeda Tehmina
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Chu, Yu-Ming
dc.contributor.author Mustafa, Ghulam
dc.date.accessioned 2023-02-08T11:06:16Z
dc.date.accessioned 2025-09-18T16:08:33Z
dc.date.available 2023-02-08T11:06:16Z
dc.date.available 2025-09-18T16:08:33Z
dc.date.issued 2020
dc.description Mustafa, Ghulam/0000-0002-0441-8485 en_US
dc.description.abstract The ternary refinement schemes are the generalized version of the binary refinement schemes. This class of the schemes produce the smooth curves with the less number of refinement steps as compared to the binary class of schemes. In this paper, we present the inequalities for the analysis of a class of ternary refinement schemes. There are three simple algebraic expressions in each inequality. Further these algebraic expressions contain only the coefficients used in the refinement rules of the ternary schemes. en_US
dc.description.sponsorship HEC Pakistan; National Natural Science Foundation of China [61673169, 11971142] en_US
dc.description.sponsorship The second author is grate full to HEC Pakistan for awarding the fellowship under the Indigenous Ph.D. Scholarship Scheme. The author Yu-Ming Chu is supported by National Natural Science Foundation of China (Grant Nos. 61673169, 11971142). en_US
dc.identifier.citation Mustafa, Ghulam...et al. (2020). "The inequalities for the analysis of a class of ternary refinement schemes", AIMS Mathematics, Vol. 5, No. 6, pp. 7582-7604. en_US
dc.identifier.doi 10.3934/math.2020485
dc.identifier.issn 2473-6988
dc.identifier.scopus 2-s2.0-85091781041
dc.identifier.uri https://doi.org/10.3934/math.2020485
dc.identifier.uri https://hdl.handle.net/20.500.12416/15094
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 Refinement Scheme en_US
dc.subject Binary en_US
dc.subject Ternary en_US
dc.subject Analysis en_US
dc.subject Continuity en_US
dc.subject Inequalities en_US
dc.title The Inequalities for the Analysis of a Class of Ternary Refinement Schemes en_US
dc.title The inequalities for the analysis of a class of ternary refinement schemes tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Mustafa, Ghulam/0000-0002-0441-8485
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gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Ejaz, Syedatehmina/Kia-0616-2024
gdc.author.wosid Mustafa, Ghulam/Abh-1050-2020
gdc.author.yokid 56389
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Mustafa, Ghulam] Islamia Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan; [Ejaz, Syeda Tehmina] Govt Sadiq Coll Women Univ Bahawalpur, Dept Math, Bahawalpur 63100, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Chu, Yu-Ming] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China; [Chu, Yu-Ming] Changsha Univ Sci & Technol, Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China en_US
gdc.description.endpage 7604 en_US
gdc.description.issue 6 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 7582 en_US
gdc.description.volume 5 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords Artificial intelligence
gdc.oaire.keywords Class (philosophy)
gdc.oaire.keywords analysis
gdc.oaire.keywords Ternary operation
gdc.oaire.keywords Mesh Refinement
gdc.oaire.keywords Kinematic and Dynamic Analysis of Robot Manipulators
gdc.oaire.keywords binary
gdc.oaire.keywords Computational Mechanics
gdc.oaire.keywords ternary
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Engineering
gdc.oaire.keywords inequalities
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Isogeometric Analysis in Computational Engineering
gdc.oaire.keywords Algebra over a field
gdc.oaire.keywords Mathematical economics
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Mesh Generation Algorithms
gdc.oaire.keywords refinement scheme
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords continuity
gdc.oaire.keywords Computer Graphics and Computer-Aided Design
gdc.oaire.keywords Computer science
gdc.oaire.keywords Programming language
gdc.oaire.keywords Inequality
gdc.oaire.keywords Control and Systems Engineering
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Computer Science
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Numerical computation using splines
gdc.oaire.keywords Computer-aided design (modeling of curves and surfaces)
gdc.oaire.keywords Numerical interpolation
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gdc.oaire.sciencefields 02 engineering and technology
gdc.oaire.sciencefields 01 natural sciences
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gdc.virtual.author Baleanu, Dumitru
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