| dc.contributor.author | Acar, Tuncer | |
| dc.contributor.author | Aral, Ali | |
| dc.contributor.author | Gonska, Heiner | |
| dc.date.accessioned | 2020-06-25T18:23:11Z | |
| dc.date.available | 2020-06-25T18:23:11Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | closedAccess | en_US |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.issn | 1660-5454 | |
| dc.identifier.uri | https://doi.org/10.1007/s00009-016-0804-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12587/7035 | |
| dc.description | Acar, Tuncer/0000-0003-0982-9459 | en_US |
| dc.description | WOS: 000395093400006 | en_US |
| dc.description.abstract | A modification of Szasz-Mirakyan operators is presented that reproduces the functions 1 and e(2ax), a > 0 fixed. We prove uniform convergence, order of approximation via a certain weighted modulus of continuity, and a quantitative Voronovskaya-type theorem. A comparison with the classical Szasz-Mirakyan operators is given. Some shape preservation properties of the new operators are discussed as well. Using a natural transformation, we also present a uniform error estimate for the operators in terms of the first- and second-order moduli of smoothness. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.isversionof | 10.1007/s00009-016-0804-7 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Szasz-Mirakyan operators | en_US |
| dc.subject | King operators | en_US |
| dc.subject | Weighted modulus of continuity | en_US |
| dc.subject | Uniform convergence | en_US |
| dc.title | On Szasz-Mirakyan Operators Preserving e(2ax), a > 0 | en_US |
| dc.type | article | en_US |
| dc.contributor.department | Kırıkkale Üniversitesi | en_US |
| dc.identifier.volume | 14 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.relation.journal | Mediterranean Journal Of Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
