On the Eigenvectors of the <i>q</I>-bernstein Operators
| dc.contributor.author | Ostrovska, S. | |
| dc.contributor.author | Turan, M. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:26:59Z | |
| dc.date.available | 2024-07-05T14:26:59Z | |
| dc.date.issued | 2014 | |
| 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.doi | 10.1002/mma.2814 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-84893958342 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.2814 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/209 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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 |
| dspace.entity.type | Publication | |
| gdc.author.id | Turan, Mehmet/0000-0002-1718-3902 | |
| gdc.author.institutional | Ostrovska, Sofiya | |
| gdc.author.institutional | Turan, Mehmet | |
| gdc.author.scopusid | 55748219400 | |
| gdc.author.scopusid | 35782583700 | |
| gdc.author.wosid | Turan, Mehmet/AGZ-7356-2022 | |
| gdc.author.wosid | Ostrovska, Sofiya/AAA-2156-2020 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Ostrovska, S.; Turan, M.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 570 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 562 | en_US |
| gdc.description.volume | 37 | en_US |
| gdc.description.wosquality | Q1 | |
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| gdc.identifier.wos | WOS:000330886600010 | |
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| gdc.oaire.keywords | Approximation by polynomials | |
| gdc.oaire.keywords | Linear operators on function spaces (general) | |
| gdc.oaire.keywords | \(q\)-integers | |
| gdc.oaire.keywords | Approximation by positive operators | |
| gdc.oaire.keywords | Eigenvalue problems for linear operators | |
| gdc.oaire.keywords | \(q\)-Bernstein operator | |
| gdc.oaire.keywords | eigenvalues | |
| gdc.oaire.keywords | eigenvectors | |
| gdc.oaire.keywords | \(q\)-binomial coefficients | |
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