Lacunary statistical convergence of Bernstein operator sequences
| dc.contributor.author | Araci, Serkan | |
| dc.contributor.author | Esi, Ayhan | |
| dc.date.accessioned | 2019-11-09T15:42:31Z | |
| dc.date.available | 2019-11-09T15:42:31Z | |
| dc.date.issued | 2017-11 | |
| dc.department | HKÜ, İktisadi, İdari ve Sosyal Bilimler Fakültesi, İktisat Bölümü | en_US |
| dc.description.abstract | The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. Recently the statistical convergence of Bernstein operators was studied. In this paper, by using the concept of natural density and lacunary sequences we first introduce the notion of lacunary statistical convergence of a sequence of Bernstein polynomials. Next we apply this notion to V-B(theta)-summability. We also investigate some inclusion relations related to these concepts. (C) 2017 The Authors. Published by IASE. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). | en_US |
| dc.identifier.citation | Esi, A., & Araci, S. (November 01, 2017). Lacunary statistical convergence of Bernstein operator sequences. International Journal of Advanced and Applied Sciences, 4, 11, 78-80 | en_US |
| dc.identifier.doi | 10.21833/ijaas.2017.011.011 | |
| dc.identifier.endpage | 80 | en_US |
| dc.identifier.issn | 2313-626X | |
| dc.identifier.issn | 2313-3724 | |
| dc.identifier.issue | 11 | en_US |
| dc.identifier.startpage | 78 | en_US |
| dc.identifier.uri | https://doi.org/10.21833/ijaas.2017.011.011 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.11782/683 | |
| dc.identifier.volume | 4 | en_US |
| dc.identifier.wos | WOS:000418512200011 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | INST ADVANCED SCIENCE EXTENSION | en_US |
| dc.relation.ispartof | INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/embargoedAccess | en_US |
| dc.subject | Statistical convergence lacunary sequence; Strongly Cesaro summable; Bernstein operators | en_US |
| dc.title | Lacunary statistical convergence of Bernstein operator sequences | |
| dc.type | Article |
