Korovkin type approximation theorems for weighted ??-statistical convergence

dc.contributor.authorKarakaya, Vatan
dc.contributor.authorKaraisa, Ali
dc.date.accessioned2024-02-23T14:00:08Z
dc.date.available2024-02-23T14:00:08Z
dc.date.issued2015
dc.departmentNEÜen_US
dc.description.abstractThe 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.doi10.1007/s13373-015-0065-y
dc.identifier.endpage169en_US
dc.identifier.issn1664-3607
dc.identifier.issn1664-3615
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84942241371en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage159en_US
dc.identifier.urihttps://doi.org/10.1007/s13373-015-0065-y
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11453
dc.identifier.volume5en_US
dc.identifier.wosWOS:000355829500002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofBulletin Of Mathematical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectKorovkin Type Theoremsen_US
dc.subjectWeighted Alpha Beta-Summabilityen_US
dc.subjectRate Of The Weighted Alpha Beta-Statistical Convergenten_US
dc.subjectPositive Linear Operatoren_US
dc.titleKorovkin type approximation theorems for weighted ??-statistical convergenceen_US
dc.typeArticleen_US

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