ON THE RATE OF CONVERGENCE FOR THE <i>q</i>-DURRMEYER POLYNOMIALS IN COMPLEX DOMAINS

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dc.authorscopusid59380840600
dc.authorscopusid35610828900
dc.authorscopusid35782583700
dc.authorwosidTuran, Mehmet/JYQ-4459-2024
dc.authorwosidOstrovska, Sofiya/AAA-2156-2020
dc.contributor.authorGurel, Ovgu
dc.contributor.authorOstrovska, Sofiya
dc.contributor.authorTuran, Mehmet
dc.contributor.otherMathematics
dc.date.accessioned2024-11-05T20:18:46Z
dc.date.available2024-11-05T20:18:46Z
dc.date.issued2024
dc.departmentAtılım Universityen_US
dc.department-temp[Gurel, Ovgu] Recep Tayyip Erdogan Univ, Dept Math, Rize, Turkiye; [Ostrovska, Sofiya; Turan, Mehmet] Atilim Univ, Dept Math, Incek, Turkiyeen_US
dc.description.abstractThe 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.description.sponsorshipThe authors express their sincere gratitude to the anonymous referees for their thorough reading of the manuscript and beneficial comments.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.1515/ms-2024-0092
dc.identifier.endpage1276en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85207277022
dc.identifier.scopusqualityQ2
dc.identifier.startpage1267en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2024-0092
dc.identifier.urihttps://hdl.handle.net/20.500.14411/10243
dc.identifier.volume74en_US
dc.identifier.wosWOS:001334471700014
dc.identifier.wosqualityQ1
dc.institutionauthorOstrovska, Sofiya
dc.institutionauthorTuran, Mehmet
dc.language.isoenen_US
dc.publisherWalter de Gruyter Gmbhen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectq-integersen_US
dc.subjectq-Durrmeyer operatoren_US
dc.subjectlimit q-Durrmeyer operatoren_US
dc.subjectrate of convergenceen_US
dc.subjectanalytic functionen_US
dc.titleON THE RATE OF CONVERGENCE FOR THE <i>q</i>-DURRMEYER POLYNOMIALS IN COMPLEX DOMAINSen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isAuthorOfPublication5010d3f8-f1f2-4750-b086-e5b5edacaef7
relation.isAuthorOfPublication.latestForDiscoveryaf5756ab-54dd-454a-ac68-0babf2e35b43
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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