| dc.contributor.author | Yılmaz, Övgü Gürel | |
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.author | Turan, Mehmet | |
| dc.date.accessioned | 2024-04-30T10:24:31Z | |
| dc.date.available | 2024-04-30T10:24:31Z | |
| dc.date.issued | 2024 | en_US |
| dc.identifier.citation | Yılmaz, Ö.G., Ostrovska, S. & Turan, M. (2024). The Impact of the Limit q-Durrmeyer Operator on Continuous Functions. Computational Methods and Function Theory. https://doi.org/10.1007/s40315-024-00534-7 | en_US |
| dc.identifier.issn | 1617-9447 | |
| dc.identifier.issn | 2195-3724 | |
| dc.identifier.uri | https://doi.org/10.1007/s40315-024-00534-7 | |
| dc.identifier.uri | https://hdl.handle.net/11436/8942 | |
| dc.description.abstract | The limit q-Durrmeyer operator, D-infinity,D-q, was introduced and its approximation properties were investigated by Gupta (Appl. Math. Comput. 197(1):172-178, 2008) during a study of q-analogues for the Bernstein-Durrmeyer operator. In the present work, this operator is investigated from a different perspective. More precisely, the growth estimates are derived for the entire functions comprising the range of D-infinity,D-q. The interrelation between the analytic properties of a function f and the rate of growth for D(infinity,q)f are established, and the sharpness of the obtained results are demonstrated. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | q-Durrmeyer operator | en_US |
| dc.subject | Analytic function | en_US |
| dc.subject | Entire function | en_US |
| dc.subject | Growth estimates | en_US |
| dc.title | The impact of the limit q-durrmeyer operator on continuous functions | en_US |
| dc.type | article | en_US |
| dc.contributor.department | RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.contributor.institutionauthor | Yılmaz, Övgü Gürel | |
| dc.identifier.doi | 10.1007/s40315-024-00534-7 | en_US |
| dc.relation.journal | Computational Methods and Function Theory | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
