Korovkin type approximation theorems for weighted ??-statistical convergence
dc.contributor.author | Karakaya, Vatan | |
dc.contributor.author | Karaisa, Ali | |
dc.date.accessioned | 2024-02-23T14:00:08Z | |
dc.date.available | 2024-02-23T14:00:08Z | |
dc.date.issued | 2015 | |
dc.department | NEÜ | en_US |
dc.description.abstract | The concept of alpha beta-statistical convergence was introduced and studied by Aktu. glu (Korovkin type approximation theorems proved via alpha beta-statistical convergence, J Comput Appl Math 259: 174-181, 2014). In this work, we generalize the concept of alpha beta-statistical convergence and introduce the concept of weighted alpha beta-statistical convergence of order., weighted alpha beta-summability of order gamma, and strongly weighted alpha beta-summable sequences of order gamma. We also establish some inclusion relation, and some related results for these new summability methods. Furthermore, we prove Korovkin type approximation theorems through weighted alpha beta-statistical convergence and apply the classical Bernstein operator to construct an example in support of our result. | en_US |
dc.identifier.doi | 10.1007/s13373-015-0065-y | |
dc.identifier.endpage | 169 | en_US |
dc.identifier.issn | 1664-3607 | |
dc.identifier.issn | 1664-3615 | |
dc.identifier.issue | 2 | en_US |
dc.identifier.scopus | 2-s2.0-84942241371 | en_US |
dc.identifier.scopusquality | Q2 | en_US |
dc.identifier.startpage | 159 | en_US |
dc.identifier.uri | https://doi.org/10.1007/s13373-015-0065-y | |
dc.identifier.uri | https://hdl.handle.net/20.500.12452/11453 | |
dc.identifier.volume | 5 | en_US |
dc.identifier.wos | WOS:000355829500002 | en_US |
dc.identifier.wosquality | Q1 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
dc.relation.ispartof | Bulletin Of Mathematical Sciences | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Korovkin Type Theorems | en_US |
dc.subject | Weighted Alpha Beta-Summability | en_US |
dc.subject | Rate Of The Weighted Alpha Beta-Statistical Convergent | en_US |
dc.subject | Positive Linear Operator | en_US |
dc.title | Korovkin type approximation theorems for weighted ??-statistical convergence | en_US |
dc.type | Article | en_US |