| dc.contributor.author | Gürel, Övgü | |
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.author | Turan, Mehmet | |
| dc.date.accessioned | 2024-11-04T07:31:38Z | |
| dc.date.available | 2024-11-04T07:31:38Z | |
| dc.date.issued | 2024 | en_US |
| dc.identifier.citation | Gurel, O., Ostrovska, S., & Turan, M. (2024). On the rate of convergence for the q-Durrmeyer polynomials in complex domains. Mathematica Slovaca, 74(5), 1267–1276. https://doi.org/10.1515/ms-2024-0092 | en_US |
| dc.identifier.issn | 0139-9918 | |
| dc.identifier.issn | 1337-2211 | |
| dc.identifier.uri | https://doi.org/10.1515/ms-2024-0092 | |
| dc.identifier.uri | https://hdl.handle.net/11436/9691 | |
| dc.description.abstract | The q-Durrmeyer polynomials are one of the popular q-versions of the classical operators of approximation theory. They have been studied from different points of view by a number of researchers. The aim of this work is to estimate the rate of convergence for the sequence of the q-Durrmeyer polynomials in the case 0 < q < 1. It is proved that for any compact set D subset of C, the rate of convergence is O(q(n)) as n -> infinity. The sharpness of the obtained result is demonstrated. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Walter de Gruyter | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | q-integers | en_US |
| dc.subject | q-Durrmeyer operator | en_US |
| dc.subject | Limit q-Durrmeyer operator | en_US |
| dc.subject | Rate of convergence | en_US |
| dc.subject | Analytic function | en_US |
| dc.title | On the rate of convergence for the q-durrmeyer polynomials in complex domains | en_US |
| dc.type | article | en_US |
| dc.contributor.department | RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.contributor.institutionauthor | Gürel, Övgü | |
| dc.identifier.doi | 10.1515/ms-2024-0092 | en_US |
| dc.identifier.volume | 74 | en_US |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.startpage | 1267 | en_US |
| dc.identifier.endpage | 1276 | en_US |
| dc.relation.journal | Mathematica Slovaca | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
