On convergence of certain nonlinear Bernstein operators
| dc.authorid | 0000-0002-3641-9052 | en_US |
| dc.authorid | 0000-0002-7340-8248 | en_US |
| dc.authorid | 0000-0003-3531-8150 | |
| dc.contributor.author | Karslı, Harun | |
| dc.contributor.author | Tiryaki, İsmail Uğur | |
| dc.contributor.author | Altın, Hüseyin Erhan | |
| dc.date.accessioned | 2021-06-23T19:44:32Z | |
| dc.date.available | 2021-06-23T19:44:32Z | |
| dc.date.issued | 2016 | |
| dc.department | BAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In this article, we concern with the nonlinear Bernstein operators NBn f of the form (NB(n)f)(x) = Sigma(n)(k=0) P-n,P-k (x, f (k/n)), 0 <= x <= 1, n is an element of N, acting on bounded functions on an interval [0, 1]; where P-n,P-k satisfy some suitable assumptions. As a continuation of the very recent paper of the authors [22], we estimate their pointwise convergence to a function f having derivatives of bounded (Jordan) variation on the interval [0, 1]. We note that our results are strict extensions of the classical ones, namely, the results dealing with the linear Bernstein polynomials. | en_US |
| dc.identifier.doi | 10.2298/FIL1601141K | |
| dc.identifier.endpage | 155 | en_US |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-84966691955 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 141 | en_US |
| dc.identifier.uri | https://doi.org/10.2298/FIL1601141K | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12491/9002 | |
| dc.identifier.volume | 30 | en_US |
| dc.identifier.wos | WOS:000376533000015 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Karslı, Harun | |
| dc.institutionauthor | Tiryaki, İsmail Uğur | |
| dc.institutionauthor | Altın, Hüseyin Erhan | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Nis, Fac Sci Math | en_US |
| dc.relation.ispartof | Filomat | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Nonlinear Bernstein Operators | en_US |
| dc.subject | Bounded Variation | en_US |
| dc.subject | (L - psi) Lipschitz Condition | en_US |
| dc.subject | Pointwise Convergence | en_US |
| dc.title | On convergence of certain nonlinear Bernstein operators | en_US |
| dc.type | Article | en_US |
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