On the Continuity in <i>q</I> of the Family of the Limit <i>q</I>-durrmeyer Operators

dc.authorscopusid59011538900
dc.authorscopusid35610828900
dc.authorscopusid35782583700
dc.contributor.authorYilmaz, Ovgu Gurel
dc.contributor.authorOstrovska, Sofiya
dc.contributor.authorTuran, Mehmet
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:22:46Z
dc.date.available2024-07-05T15:22:46Z
dc.date.issued2024
dc.departmentAtılım Universityen_US
dc.department-temp[Ostrovska, Sofiya; Turan, Mehmet] Atilim Univ, Dept Math, TR-06830 Ankara, Turkiye; [Yilmaz, Ovgu Gurel] Recep Tayyip Erdogan Univ, Dept Math, TR-53100 Rize, Turkiyeen_US
dc.description.abstractThis study deals with the one-parameter family {D-q}(q is an element of[0,1]) of Bernstein-type operators introduced by Gupta and called the limit q-Durrmeyer operators. The continuity of this family with respect to the parameter q is examined in two most important topologies of the operator theory, namely, the strong and uniform operator topologies. It is proved that {D-q}(q is an element of[0,1]) is continuous in the strong operator topology for all q is an element of [0, 1]. When it comes to the uniform operator topology, the continuity is preserved solely at q = 0 and fails at all q is an element of (0, 1]. In addition, a few estimates for the distance between two limit q-Durrmeyer operators have been derived in the operator norm on C[0, 1].en_US
dc.identifier.citationcount0
dc.identifier.doi10.1515/dema-2023-0157
dc.identifier.issn0420-1213
dc.identifier.issn2391-4661
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85192013288
dc.identifier.urihttps://doi.org/10.1515/dema-2023-0157
dc.identifier.urihttps://hdl.handle.net/20.500.14411/2239
dc.identifier.volume57en_US
dc.identifier.wosWOS:001207932400001
dc.identifier.wosqualityQ1
dc.institutionauthorTuran, Mehmet
dc.institutionauthorOstrovska, Sofiya
dc.language.isoenen_US
dc.publisherde Gruyter Poland Sp Z O Oen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount0
dc.subjectq-Durrmeyer operatoren_US
dc.subjectq-Bernstein operatoren_US
dc.subjectoperator normen_US
dc.subjectstrong operator topologyen_US
dc.subjectuniform operator topologyen_US
dc.titleOn the Continuity in <i>q</I> of the Family of the Limit <i>q</I>-durrmeyer Operatorsen_US
dc.typeArticleen_US
dc.wos.citedbyCount0
dspace.entity.typePublication
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