WEIGHTED STATISTICAL CONVERGENCE OF ORDER a OF DIFFERENCE SEQUENCES

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dc.contributor.authorKandemir, Hacer Şengül
dc.contributor.authorEt, Mikail
dc.contributor.authorCakalli, Hüseyin
dc.date.accessioned2024-07-12T21:40:17Z
dc.date.available2024-07-12T21:40:17Z
dc.date.issued2023en_US
dc.department[Belirlenecek]en_US
dc.description.abstractStudy of difference sequences is a recent development in the summability theory. Sometimes a situation may arise that we have a sequence at hand and we are interested in sequences formed by its successive differences and in the structure of these new sequences. Studies on difference sequences were introduced in the 1980s and after that many mathematicians studied these kind of sequences and obtained some generalized difference sequence spaces. In this study, we generalize the concepts of weighted statistical convergence and weighted ([Np]) over bar -summability of real (or complex) numbers sequences to the concepts of Delta(m)-weighted statistical convergence of order alpha and weighted [(Np) over bar (alpha)] (Delta(m), r)-summability of order alpha by using generalized difference operator Delta(m) and examine the relationships between Delta(m)-weighted statistical convergence of order alpha and weighted [(Np) over bar (alpha)] (Delta(m), r)-summability of order alpha. Our results are more general than the corresponding results in the existing literature.en_US
dc.identifier.doi10.22190/FUMI211004022S
dc.identifier.endpage327en_US
dc.identifier.issn0352-9665
dc.identifier.issn2406-047X
dc.identifier.issue2en_US
dc.identifier.startpage317en_US
dc.identifier.urihttps://doi.org/10.22190/FUMI211004022S
dc.identifier.urihttps://hdl.handle.net/20.500.12415/7222
dc.identifier.volume38en_US
dc.identifier.wosWOS:001139598700008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Science
dc.language.isoenen_US
dc.publisherUniv Nisen_US
dc.relation.ispartofFacta Universitatis-Series Mathematics And Informaticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKY05160
dc.subjectStatistical Convergenceen_US
dc.subjectDifference Sequencesen_US
dc.subjectWeighted Summabilityen_US
dc.titleWEIGHTED STATISTICAL CONVERGENCE OF ORDER a OF DIFFERENCE SEQUENCESen_US
dc.typeArticle
dspace.entity.typePublication

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