Some properties of q-Bernstein-Durrmeyer operators
| dc.authorid | 0000-0002-3641-9052 | en_US |
| dc.contributor.author | Karslı, Harun | |
| dc.date.accessioned | 2021-06-23T19:50:45Z | |
| dc.date.available | 2021-06-23T19:50:45Z | |
| dc.date.issued | 2019 | |
| dc.department | BAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In the present paper we shall investigate the pointwise approximation properties of the q analogue of the Bernstein-Durrmeyer operators and estimate the rate of pointwise convergence of these operators to the functions f whose q-derivatives are bounded variation on the interval [0, 1]. We give an estimate for the rate of convergence of the operator (L-n, (q)f) at those points x at which the one sided q-derivatives D-q(+) f(x), D-q(-) f(x)exist. We shall also prove that the operators L-n, (q)f converges to the limit f (x). To the best of my knowledge, the present study will be the first study on the approximation of q- operators in the space of DqBV. | en_US |
| dc.identifier.doi | 10.32513/tbilisi/1578020576 | |
| dc.identifier.endpage | 204 | en_US |
| dc.identifier.issn | 1875-158X | |
| dc.identifier.issn | 1512-0139 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 189 | en_US |
| dc.identifier.uri | https://doi.org/10.32513/tbilisi/1578020576 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12491/9854 | |
| dc.identifier.volume | 12 | en_US |
| dc.identifier.wos | WOS:000505616600014 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.institutionauthor | Karslı, Harun | |
| dc.language.iso | en | en_US |
| dc.publisher | Tbilisi Centre for Mathematical Sciences | en_US |
| dc.relation.ispartof | Tbilisi Mathematical Journal | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Q-Bernstein-Durrmeyer Operators | en_US |
| dc.subject | Pointwise Approximation | en_US |
| dc.subject | Right and Left Q-Derivatives | en_US |
| dc.subject | Convergence Rate | en_US |
| dc.subject | Bounded Variation | en_US |
| dc.title | Some properties of q-Bernstein-Durrmeyer operators | en_US |
| dc.type | Article | en_US |
