On the <i>q</I>-bernstein Polynomials of the Logarithmic Function in the Case <i>q</I> > 1
| dc.authorscopusid | 35610828900 | |
| dc.authorwosid | Ostrovska, Sofiya/AAA-2156-2020 | |
| dc.contributor.author | Ostrovska, Sofiya | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T14:29:13Z | |
| dc.date.available | 2024-07-05T14:29:13Z | |
| dc.date.issued | 2016 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Ostrovska, Sofiya] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description.abstract | The q-Bernstein basis used to construct the q-Bernstein polynomials is an extension of the Bernstein basis related to the q-binomial probability distribution. This distribution plays a profound role in the q-boson operator calculus. In the case q > 1, q-Bernstein basic polynomials on [0, 1] combine the fast increase in magnitude with sign oscillations. This seriously complicates the study of q-Bernstein polynomials in the case of q > 1. The aim of this paper is to present new results related to the q-Bernstein polynomials B-n,B- q of discontinuous functions in the case q > 1. The behavior of polynomials B-n,B- q(f; x) for functions f possessing a logarithmic singularity at 0 has been examined. (C) 2016 Mathematical Institute Slovak Academy of Sciences | en_US |
| dc.identifier.citationcount | 2 | |
| dc.identifier.doi | 10.1515/ms-2015-0116 | |
| dc.identifier.endpage | 78 | en_US |
| dc.identifier.issn | 0139-9918 | |
| dc.identifier.issn | 1337-2211 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-84969706134 | |
| dc.identifier.startpage | 73 | en_US |
| dc.identifier.uri | https://doi.org/10.1515/ms-2015-0116 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/484 | |
| dc.identifier.volume | 66 | en_US |
| dc.identifier.wos | WOS:000375745500007 | |
| dc.identifier.wosquality | Q1 | |
| dc.institutionauthor | Ostrovska, Sofiya | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter Gmbh | 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 | 2 | |
| dc.subject | q-integers | en_US |
| dc.subject | q-binomial coefficients | en_US |
| dc.subject | q-Bernstein polynomials | en_US |
| dc.subject | convergence | en_US |
| dc.title | On the <i>q</I>-bernstein Polynomials of the Logarithmic Function in the Case <i>q</I> > 1 | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 2 | |
| dspace.entity.type | Publication | |
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