On the Image of the Limit <i>q</I>-bernstein Operator

dc.authorscopusid35610828900
dc.authorwosidOstrovska, Sofiya/AAA-2156-2020
dc.contributor.authorOstrovska, Sofiya
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T15:12:06Z
dc.date.available2024-07-05T15:12:06Z
dc.date.issued2009
dc.departmentAtılım Universityen_US
dc.department-tempAtilim Univ, Dept Math, TR-06836 Ankara, Turkeyen_US
dc.description.abstractThe limit q-Bernstein operator B-q emerges naturally as an analogue to the Szasz-Mirakyan operator related to the Euler distribution. Alternatively, B-q comes out as a limit for a sequence of q-Bernstein polynomials in the case 0<q<1. Lately, different properties of the limit q-Bernstein operator and its iterates have been studied by a number of authors. In particular, it has been shown that B-q is a positive shape-preserving linear operator on C[0, 1] with parallel to B-q parallel to = 1, which possesses the following remarkable property: in general, it improves the analytic properties of a function. In this paper, new results on the properties of the image of B-q are presented. Copyright (C) 2009 John Wiley & Sons, Ltd.en_US
dc.identifier.citationcount8
dc.identifier.doi10.1002/mma.1118
dc.identifier.endpage1970en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue15en_US
dc.identifier.scopus2-s2.0-70349604151
dc.identifier.startpage1964en_US
dc.identifier.urihttps://doi.org/10.1002/mma.1118
dc.identifier.urihttps://hdl.handle.net/20.500.14411/1536
dc.identifier.volume32en_US
dc.identifier.wosWOS:000270443400004
dc.identifier.wosqualityQ1
dc.institutionauthorOstrovska, Sofiya
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.scopus.citedbyCount10
dc.subjectlimit q-Bernstein operatoren_US
dc.subjectq-Bernstein polynomialsen_US
dc.subjectuniform convergenceen_US
dc.subjectpower seriesen_US
dc.subjectanalytic functionen_US
dc.titleOn the Image of the Limit <i>q</I>-bernstein Operatoren_US
dc.typeArticleen_US
dc.wos.citedbyCount8
dspace.entity.typePublication
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