Convergence of Generalized Bernstein Polynomials
| dc.authorscopusid | 16412686000 | |
| dc.authorscopusid | 35610828900 | |
| dc.authorwosid | Ostrovska, Sofiya/AAA-2156-2020 | |
| dc.contributor.author | Il'inskii, A | |
| dc.contributor.author | Ostrovska, S | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:08:51Z | |
| dc.date.available | 2024-07-05T15:08:51Z | |
| dc.date.issued | 2002 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | Kharkov Natl Univ, Dept Math & Mech, UA-61077 Kharkov, Ukraine; Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description.abstract | Let f is an element of C[0, 1], q is an element of (0, 1), and B-n(f, q; x) be generalized Bernstein polynomials based on the q-integers. These polynomials were introduced by G. M. Phillips in 1997. We study convergence properties of the sequence {B-n(f, q; x)}(n=1)(infinity). It is shown that in general these properties are essentially different from those in the classical case q = 1. (C) 2002 Elsevier Science (USA). | en_US |
| dc.identifier.citationcount | 127 | |
| dc.identifier.doi | 10.1006/jath.2001.3657 | |
| dc.identifier.endpage | 112 | en_US |
| dc.identifier.issn | 0021-9045 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-0036287075 | |
| dc.identifier.startpage | 100 | en_US |
| dc.identifier.uri | https://doi.org/10.1006/jath.2001.3657 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1114 | |
| dc.identifier.volume | 116 | en_US |
| dc.identifier.wos | WOS:000176197200005 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Ostrovska, Sofiya | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | 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 | 134 | |
| dc.subject | generalized Bernstein polynomials | en_US |
| dc.subject | q-integers | en_US |
| dc.subject | q-binomial coefficients | en_US |
| dc.subject | convergence | en_US |
| dc.title | Convergence of Generalized Bernstein Polynomials | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 125 | |
| dspace.entity.type | Publication | |
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