On the Eigenvectors of the <i>q</I>-bernstein Operators

dc.authorid Turan, Mehmet/0000-0002-1718-3902
dc.authorscopusid 55748219400
dc.authorscopusid 35782583700
dc.authorwosid Turan, Mehmet/AGZ-7356-2022
dc.authorwosid Ostrovska, Sofiya/AAA-2156-2020
dc.contributor.author Ostrovska, S.
dc.contributor.author Turan, M.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:26:59Z
dc.date.available 2024-07-05T14:26:59Z
dc.date.issued 2014
dc.department Atılım University en_US
dc.department-temp [Ostrovska, S.; Turan, M.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description Turan, Mehmet/0000-0002-1718-3902 en_US
dc.description.abstract In this article, both the eigenvectors and the eigenvalues of the q-Bernstein operators have been studied. Explicit formulae are presented for the eigenvectors, whose limit behavior is determined both in the case 0<q<1 and in the case q>1. Because the classical case, where q=1, was investigated exhaustively by S. Cooper and S. Waldron back in 2000, the present article also discusses the related similarities and distinctions with the results in the classical case. Copyright (c) 2013 John Wiley & Sons, Ltd. en_US
dc.identifier.citationcount 8
dc.identifier.doi 10.1002/mma.2814
dc.identifier.endpage 570 en_US
dc.identifier.issn 0170-4214
dc.identifier.issn 1099-1476
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-84893958342
dc.identifier.startpage 562 en_US
dc.identifier.uri https://doi.org/10.1002/mma.2814
dc.identifier.uri https://hdl.handle.net/20.500.14411/209
dc.identifier.volume 37 en_US
dc.identifier.wos WOS:000330886600010
dc.identifier.wosquality Q1
dc.institutionauthor Ostrovska, Sofiya
dc.institutionauthor Turan, Mehmet
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 8
dc.subject q-integers en_US
dc.subject q-binomial coefficients en_US
dc.subject q-Bernstein operator en_US
dc.subject eigenvalues en_US
dc.subject eigenvectors en_US
dc.title On the Eigenvectors of the <i>q</I>-bernstein Operators en_US
dc.type Article en_US
dc.wos.citedbyCount 9
dspace.entity.type Publication
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