On the Sets of Convergence for Sequences of the <i>q</I>-bernstein Polynomials With <i>q</I> &gt; 1

dc.authorscopusid 35610828900
dc.authorscopusid 9276702800
dc.authorwosid Ostrovska, Sofiya/AAA-2156-2020
dc.contributor.author Ostrovska, Sofiya
dc.contributor.author Ozban, Ahmet Yasar
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:11:18Z
dc.date.available 2024-07-05T15:11:18Z
dc.date.issued 2012
dc.department Atılım University en_US
dc.department-temp [Ostrovska, Sofiya; Ozban, Ahmet Yasar] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description.abstract The aim of this paper is to present new results related to the convergence of the sequence of the q-Bernstein polynomials {B-n,B-q(f x)} in the case q > 1, where f is a continuous function on [0,1]. It is shown that the polynomials converge to f uniformly on the time scale J(q) = {q(-j)}(j-0)(infinity) boolean OR {0}, and that this result is sharp in the sense that the sequence {B-n,B-q(f;x)}(n-1)(infinity) may be divergent for all x is an element of R \ J(q). Further the impossibility of the uniform approximation for the Weierstrass-type functions is established. Throughout the paper the results are illustrated by numerical examples. en_US
dc.identifier.citationcount 3
dc.identifier.doi 10.1155/2012/185948
dc.identifier.issn 1085-3375
dc.identifier.scopus 2-s2.0-84867770903
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1155/2012/185948
dc.identifier.uri https://hdl.handle.net/20.500.14411/1433
dc.identifier.wos WOS:000309046100001
dc.institutionauthor Ostrovska, Sofiya
dc.institutionauthor Özban, Ahmet Yaşar
dc.language.iso en en_US
dc.publisher Hindawi Publishing Corporation en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 5
dc.subject [No Keyword Available] en_US
dc.title On the Sets of Convergence for Sequences of the <i>q</I>-bernstein Polynomials With <i>q</I> &gt; 1 en_US
dc.type Article en_US
dc.wos.citedbyCount 3
dspace.entity.type Publication
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