| dc.contributor.author | Aral, Ali | |
| dc.date.accessioned | 2020-06-25T17:44:43Z | |
| dc.date.available | 2020-06-25T17:44:43Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | closedAccess | en_US |
| dc.identifier.issn | 0895-7177 | |
| dc.identifier.uri | https://doi.org10.1016/j.mcm.2007.06.018 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/4176 | |
| dc.description | WOS: 000255511900021 | en_US |
| dc.description.abstract | In this paper, we introduce a generalization of Szasz-Mirakyan operators based on q-integers, that we call q-Szasz-Mirakyan operators. Depending on the selection of q, these operators are more flexible than the classical Szasz-Mirakyan operators while retaining their approximation properties. For these operators, we give a Voronovskaya-type theorem related to q-derivatives. Furthermore, we obtain convergence properties for functions belonging to particular subspaces of C [0, infinity) and give some representation formulas of q-Szasz-Mirakyan operators and their rth q-derivatives. (c) 2007 Elsevier Ltd. All rights reserved. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
| dc.relation.isversionof | 10.1016/j.mcm.2007.06.018 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | q-Szasz-Mirakyan operators | en_US |
| dc.subject | divided difference | en_US |
| dc.subject | q-exponential functions | en_US |
| dc.subject | q-derivatives | en_US |
| dc.title | A generalization of Szasz-Mirakyan operators based on q-integers | en_US |
| dc.type | article | en_US |
| dc.identifier.volume | 47 | en_US |
| dc.identifier.issue | 9-10 | en_US |
| dc.identifier.startpage | 1052 | en_US |
| dc.identifier.endpage | 1062 | en_US |
| dc.relation.journal | Mathematical And Computer Modelling | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
