On the <i>q</I>-bernstein Polynomials of Piecewise Linear Functions in the Case <i>q</I> &gt; 1

dc.authorscopusid24490607700
dc.authorscopusid35610828900
dc.authorwosidOstrovska, Sofiya/AAA-2156-2020
dc.contributor.authorKaskaloglu, Kerem
dc.contributor.authorOstrovska, Sofiya
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:28:52Z
dc.date.available2024-07-05T14:28:52Z
dc.date.issued2013
dc.departmentAtılım Universityen_US
dc.department-temp[Kaskaloglu, Kerem; Ostrovska, Sofiya] Atilim Univ, Dept Math, TR-06836 Ankara, Turkeyen_US
dc.description.abstractThe aim of this paper is to present new results related to the approximation of continuous functions by their q-Bernstein polynomials in the case q > 1. The first part of the paper is devoted to the behavior of the q-Bernstein polynomials of piecewise linear functions. This study naturally leads to the notion of truncated q-Bernstein polynomials introduced in the paper. The second part deals with the asymptotic estimates for the norms of the m-truncated q-Bernstein polynomials, in the case where both n and q vary. The results of the paper are illustrated by numerical examples. (C) 2012 Elsevier Ltd. All rights reserved.en_US
dc.identifier.citationcount3
dc.identifier.doi10.1016/j.mcm.2012.01.022
dc.identifier.endpage2431en_US
dc.identifier.issn0895-7177
dc.identifier.issn1872-9479
dc.identifier.issue9-10en_US
dc.identifier.scopus2-s2.0-84875679564
dc.identifier.startpage2419en_US
dc.identifier.urihttps://doi.org/10.1016/j.mcm.2012.01.022
dc.identifier.urihttps://hdl.handle.net/20.500.14411/444
dc.identifier.volume57en_US
dc.identifier.wosWOS:000317262100041
dc.institutionauthorOstrovska, Sofiya
dc.institutionauthorKaşkaloğlu, Kerem
dc.language.isoenen_US
dc.publisherPergamon-elsevier Science Ltden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.scopus.citedbyCount2
dc.subjectq-integersen_US
dc.subjectq-binomial coefficientsen_US
dc.subjectq-Bernstein polynomialsen_US
dc.subjectq-Bernstein operatoren_US
dc.subjectOperator normen_US
dc.titleOn the <i>q</I>-bernstein Polynomials of Piecewise Linear Functions in the Case <i>q</I> &gt; 1en_US
dc.typeArticleen_US
dc.wos.citedbyCount2
dspace.entity.typePublication
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