Korovkin type approximation theorems in B-statistical sense
| dc.authorid | Demirci, Kamil/0000-0002-5976-9768 | |
| dc.authorid | dirik, fadime/0000-0002-9316-9037 | |
| dc.contributor.author | Dirik, Fadime | |
| dc.contributor.author | Demirci, Kamil | |
| dc.date.accessioned | 2025-03-23T19:40:55Z | |
| dc.date.available | 2025-03-23T19:40:55Z | |
| dc.date.issued | 2009 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | In this paper, using the concept of B-statistical convergence for sequence of infinite matrices B = (B-i) with B-i = (b(nk)(i)) we investigate various approximation results concerning the classical Korovkin theorem. Then we present two examples of sequences of positive linear operators. The first one shows that the statistical Korovkin type theorem does not work but our approximation theorem works. The second one gives that our approximation theorem does not work but the statistical Korovkin type theorem works. Also, we study the rates of B-statistical convergence of approximating positive linear operators and give a Voronovskaya-type theorem. (C) 2009 Elsevier Ltd. All rights reserved. | |
| dc.identifier.doi | 10.1016/j.mcm.2008.11.002 | |
| dc.identifier.endpage | 2044 | |
| dc.identifier.issn | 0895-7177 | |
| dc.identifier.issn | 1872-9479 | |
| dc.identifier.issue | 9-10 | |
| dc.identifier.scopus | 2-s2.0-63449107352 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 2037 | |
| dc.identifier.uri | https://doi.org/10.1016/j.mcm.2008.11.002 | |
| dc.identifier.uri | https://hdl.handle.net/11486/6454 | |
| dc.identifier.volume | 49 | |
| dc.identifier.wos | WOS:000264925300024 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Pergamon-Elsevier Science Ltd | |
| dc.relation.ispartof | Mathematical and Computer Modelling | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250323 | |
| dc.subject | B-statistical convergence of sequence | |
| dc.subject | Korovkin-type approximation theorem | |
| dc.subject | Bernstein polynomials | |
| dc.subject | Modulus of continuity | |
| dc.subject | Voronovskaya-type theorem | |
| dc.title | Korovkin type approximation theorems in B-statistical sense | |
| dc.type | Article |
