The Sharpness of Convergence Results for <i>q</I>-bernstein Polynomials in The Case <i>q</I> &gt; 1

dc.authorscopusid35610828900
dc.authorwosidOstrovska, Sofiya/AAA-2156-2020
dc.contributor.authorOstrovska, Sofiya
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:34:11Z
dc.date.available2024-07-05T14:34:11Z
dc.date.issued2008
dc.departmentAtılım Universityen_US
dc.department-tempAtilim Univ, Dept Math, TR-06836 Ankara, Turkeyen_US
dc.description.abstractDue to the fact that in the case q > 1 the q-Bernstein polynomials are no longer positive linear operators on C[0, 1], the study of their convergence properties turns out to be essentially more difficult than that for q 1. In this paper, new saturation theorems related to the convergence of q-Bernstein polynomials in the case q > 1 are proved.en_US
dc.identifier.citationcount15
dc.identifier.doi10.1007/s10587-008-0079-7
dc.identifier.endpage1206en_US
dc.identifier.issn0011-4642
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-58049148064
dc.identifier.startpage1195en_US
dc.identifier.urihttps://doi.org/10.1007/s10587-008-0079-7
dc.identifier.urihttps://hdl.handle.net/20.500.14411/1030
dc.identifier.volume58en_US
dc.identifier.wosWOS:000261966900024
dc.identifier.wosqualityQ4
dc.institutionauthorOstrovska, Sofiya
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount18
dc.subjectq-integersen_US
dc.subjectq-binomial coefficientsen_US
dc.subjectq-Bernstein polynomialsen_US
dc.subjectuniform convergenceen_US
dc.subjectanalytic functionen_US
dc.subjectCauchy estimatesen_US
dc.titleThe Sharpness of Convergence Results for <i>q</I>-bernstein Polynomials in The Case <i>q</I> &gt; 1en_US
dc.typeArticleen_US
dc.wos.citedbyCount15
dspace.entity.typePublication
relation.isAuthorOfPublicationaf5756ab-54dd-454a-ac68-0babf2e35b43
relation.isAuthorOfPublication.latestForDiscoveryaf5756ab-54dd-454a-ac68-0babf2e35b43
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

Files

Collections