Statistical Approximation Properties of Q-Bleimann, Butzer and Hahn Operators
| dc.contributor.author | Dogru, Ogun | |
| dc.contributor.author | Ersan, Sibel | |
| dc.date.accessioned | 2016-06-06T10:37:57Z | |
| dc.date.accessioned | 2025-09-18T12:09:04Z | |
| dc.date.available | 2016-06-06T10:37:57Z | |
| dc.date.available | 2025-09-18T12:09:04Z | |
| dc.date.issued | 2009 | |
| dc.description.abstract | The main aim of this study is to introduce a new generalization of q-Bleimann, Butzer and Hahn operators and obtain statistical approximation properties of these operators with the help of the Korovkin type statistical approximation theorem. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established. Our results show that rates of convergence of our operators are at least as fast as classical BBH operators. The second aim of this study is to construct a bivariate generalization of the operator and also obtain the statistical approximation properties. (C) 2008 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.citation | Ersan, S., Doğru, O. (2009). Statistical approximation properties of q-Bleimann, Butzer and Hahn operators. Mathematical And Computer Modelling, 49(7-8), 1595-1606. http://dx.doi.org/10.1016/j.mcm.2008.10.008 | en_US |
| dc.identifier.doi | 10.1016/j.mcm.2008.10.008 | |
| dc.identifier.issn | 0895-7177 | |
| dc.identifier.issn | 1872-9479 | |
| dc.identifier.scopus | 2-s2.0-60949106969 | |
| dc.identifier.uri | https://doi.org/10.1016/j.mcm.2008.10.008 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11301 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Mathematical and Computer Modelling | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Linear Positive Operators | en_US |
| dc.subject | Statistical Convergence | en_US |
| dc.subject | Q-Bleimann | en_US |
| dc.subject | Butzer And Hahn Operators | en_US |
| dc.subject | Rate Of Statistical Convergence | en_US |
| dc.subject | Modulus Of Continuity | en_US |
| dc.subject | Lipschitz Type Maximal Functions | en_US |
| dc.title | Statistical Approximation Properties of Q-Bleimann, Butzer and Hahn Operators | en_US |
| dc.title | Statistical approximation properties of q-Bleimann, Butzer and Hahn operators | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Dogru, Ogun] Gazi Univ, Fac Sci & Arts, Dept Math, TR-06500 Ankara, Turkey; [Ersan, Sibel] Cankaya Univ, Fac Sci & Arts, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 1606 | en_US |
| gdc.description.issue | 7-8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1595 | en_US |
| gdc.description.volume | 49 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Computer Science Applications | |
| gdc.oaire.keywords | \(q\)-Bleimann | |
| gdc.oaire.keywords | Lipschitz type maximal functions | |
| gdc.oaire.keywords | Stochastic approximation | |
| gdc.oaire.keywords | modulus of continuity | |
| gdc.oaire.keywords | Approximation by positive operators | |
| gdc.oaire.keywords | linear positive operators | |
| gdc.oaire.keywords | statistical convergence | |
| gdc.oaire.keywords | Butzer and Hahn operators | |
| gdc.oaire.keywords | rate of statistical convergence | |
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