On the Rate of Convergence for the <i>q</I>-durrmeyer Polynomials in Complex Domains

dc.authorscopusid 59380840600
dc.authorscopusid 35610828900
dc.authorscopusid 35782583700
dc.authorwosid Turan, Mehmet/JYQ-4459-2024
dc.authorwosid Ostrovska, Sofiya/AAA-2156-2020
dc.contributor.author Gurel, Ovgu
dc.contributor.author Ostrovska, Sofiya
dc.contributor.author Turan, Mehmet
dc.contributor.other Mathematics
dc.date.accessioned 2024-11-05T20:18:46Z
dc.date.available 2024-11-05T20:18:46Z
dc.date.issued 2024
dc.department Atılım University en_US
dc.department-temp [Gurel, Ovgu] Recep Tayyip Erdogan Univ, Dept Math, Rize, Turkiye; [Ostrovska, Sofiya; Turan, Mehmet] Atilim Univ, Dept Math, Incek, Turkiye en_US
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.description.sponsorship The authors express their sincere gratitude to the anonymous referees for their thorough reading of the manuscript and beneficial comments. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1515/ms-2024-0092
dc.identifier.endpage 1276 en_US
dc.identifier.issn 0139-9918
dc.identifier.issn 1337-2211
dc.identifier.issue 5 en_US
dc.identifier.scopus 2-s2.0-85207277022
dc.identifier.scopusquality Q2
dc.identifier.startpage 1267 en_US
dc.identifier.uri https://doi.org/10.1515/ms-2024-0092
dc.identifier.uri https://hdl.handle.net/20.500.14411/10243
dc.identifier.volume 74 en_US
dc.identifier.wos WOS:001334471700014
dc.identifier.wosquality Q1
dc.institutionauthor Ostrovska, Sofiya
dc.institutionauthor Turan, Mehmet
dc.language.iso en en_US
dc.publisher Walter de Gruyter Gmbh en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 1
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 <i>q</I>-durrmeyer Polynomials in Complex Domains en_US
dc.type Article en_US
dc.wos.citedbyCount 1
dspace.entity.type Publication
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