F-relative A-summation process for double sequences and abstract Korovkin type theorems

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dc.authoridYILDIZ, Sevda/0000-0002-4730-2271
dc.contributor.authorYildiz, Sevda
dc.date.accessioned2025-03-23T19:30:05Z
dc.date.available2025-03-23T19:30:05Z
dc.date.issued2021
dc.departmentSinop Üniversitesi
dc.description.abstractIn this paper, we first introduce the notions of F-relative modular convergence and F-relative strong convergence for double sequences of functions. Then we prove some Korovkin-type approximation theorems via F-relative A-summation process on modular spaces for double sequences of positive linear operators. Also, we present a non-trivial application such that our Korovkin-type approximation results in modular spaces are stronger than the classical ones and we present some estimates of rates of convergence for abstract Korovkin-type theorems. Furthermore, we relax the positivity condition of linear operators in the Korovkin theorems and study an extension to non-positive operators.
dc.identifier.doi10.15672/hujms.796762
dc.identifier.endpage1062
dc.identifier.issn2651-477X
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85113204423
dc.identifier.scopusqualityQ2
dc.identifier.startpage1047
dc.identifier.trdizinid493999
dc.identifier.urihttps://doi.org/10.15672/hujms.796762
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/493999
dc.identifier.urihttps://hdl.handle.net/11486/5009
dc.identifier.volume50
dc.identifier.wosWOS:000687954300012
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorYildiz, Sevda
dc.language.isoen
dc.publisherHacettepe Univ, Fac Sci
dc.relation.ispartofHacettepe Journal of Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250323
dc.subjectmodular spaces
dc.subjectdouble sequence
dc.subjectmatrix summability
dc.subjectfilter convergence
dc.subjectabstract Korovkin theorem
dc.titleF-relative A-summation process for double sequences and abstract Korovkin type theorems
dc.typeArticle

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