The Impact of the Limit <i>q</I>-durrmeyer Operator on Continuous Functions
| dc.contributor.author | Yilmaz, Ovgu Gurel | |
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.author | Turan, Mehmet | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T15:22:48Z | |
| dc.date.available | 2024-07-05T15:22:48Z | |
| dc.date.issued | 2024 | |
| 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.description.sponsorship | Recep Tayyip Erdogbreve;an University | en_US |
| dc.description.sponsorship | No Statement Available | en_US |
| dc.identifier.doi | 10.1007/s40315-024-00534-7 | |
| dc.identifier.issn | 1617-9447 | |
| dc.identifier.issn | 2195-3724 | |
| dc.identifier.scopus | 2-s2.0-85189642170 | |
| dc.identifier.uri | https://doi.org/10.1007/s40315-024-00534-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/2242 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Computational Methods and Function Theory | |
| 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 <i>q</I>-durrmeyer Operator on Continuous Functions | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Turan, Mehmet | |
| gdc.author.institutional | Ostrovska, Sofiya | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Yilmaz, Ovgu Gurel] Recep Tayyip Erdogan Univ, Dept Math, TR-53100 Rize, Turkiye; [Ostrovska, Sofiya; Turan, Mehmet] Atilim Univ, Dept Math, TR-06830 Ankara, Turkiye | en_US |
| gdc.description.endpage | 315 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 303 | |
| gdc.description.volume | 25 | |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Analytic function | |
| gdc.oaire.keywords | Entire function | |
| gdc.oaire.keywords | Mathematics - Complex Variables | |
| gdc.oaire.keywords | q-Durrmeyer operator | |
| gdc.oaire.keywords | Growth estimates | |
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