On the Image of the Limit <i>q</I>-bernstein Operator
dc.authorscopusid | 35610828900 | |
dc.authorwosid | Ostrovska, Sofiya/AAA-2156-2020 | |
dc.contributor.author | Ostrovska, Sofiya | |
dc.contributor.other | Mathematics | |
dc.date.accessioned | 2024-07-05T15:12:06Z | |
dc.date.available | 2024-07-05T15:12:06Z | |
dc.date.issued | 2009 | |
dc.department | Atılım University | en_US |
dc.department-temp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
dc.description.abstract | The 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.citationcount | 8 | |
dc.identifier.doi | 10.1002/mma.1118 | |
dc.identifier.endpage | 1970 | en_US |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issn | 1099-1476 | |
dc.identifier.issue | 15 | en_US |
dc.identifier.scopus | 2-s2.0-70349604151 | |
dc.identifier.startpage | 1964 | en_US |
dc.identifier.uri | https://doi.org/10.1002/mma.1118 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14411/1536 | |
dc.identifier.volume | 32 | en_US |
dc.identifier.wos | WOS:000270443400004 | |
dc.identifier.wosquality | Q1 | |
dc.institutionauthor | Ostrovska, Sofiya | |
dc.language.iso | en | en_US |
dc.publisher | Wiley | 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 | 10 | |
dc.subject | limit q-Bernstein operator | en_US |
dc.subject | q-Bernstein polynomials | en_US |
dc.subject | uniform convergence | en_US |
dc.subject | power series | en_US |
dc.subject | analytic function | en_US |
dc.title | On the Image of the Limit <i>q</I>-bernstein Operator | en_US |
dc.type | Article | en_US |
dc.wos.citedbyCount | 8 | |
dspace.entity.type | Publication | |
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