On f-strongly Cesaro and f-statistical derivable functions

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dc.authoridGarcia-Pacheco, Francisco/0000-0001-6208-6071
dc.contributor.authorAltay, Bilal
dc.contributor.authorGarcia-Pacheco, Francisco Javier
dc.contributor.authorKama, Ramazan
dc.date.accessioned2024-12-24T19:34:00Z
dc.date.available2024-12-24T19:34:00Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this manuscript, we introduce the following novel concepts for real functions related to f-convergence and f-statistical convergence: f-statistical continuity, f-statistical derivative, and f-strongly Cesaro derivative. In the first subsection of original results, the f-statistical continuity is related to continuity. In the second subsection, the f-statistical derivative is related to the derivative. In the third and final subsection of results, the f-strongly Cesaro derivative is related to the strongly Cesaro derivative and to the f-statistical derivative. Under suitable conditions of the modulus f, several characterizations involving the previous concepts have been obtained.
dc.description.sponsorshipMinistry of Science, Innovation and Universities of Spain [PGC-101514-B-I00]; 2014-2020 ERDF Operational Programme; Department of Economy, Knowledge, Business and University of the Regional Government of Andalusia [FEDERUCA18-105867]
dc.description.sponsorshipThe second author has been partially supported by Research Grant PGC-101514-B-I00 awarded by the Ministry of Science, Innovation and Universities of Spain. This work has also been co-financed by the 2014-2020 ERDF Operational Programme and by the Department of Economy, Knowledge, Business and University of the Regional Government of Andalusia, under Project Reference FEDERUCA18-105867. The APC has been paid by the Department of Mathematics of the University of Cadiz.
dc.identifier.doi10.3934/math.2022629
dc.identifier.endpage11291
dc.identifier.issn2473-6988
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85128130220
dc.identifier.scopusqualityQ1
dc.identifier.startpage11276
dc.identifier.urihttps://doi.org/10.3934/math.2022629
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8386
dc.identifier.volume7
dc.identifier.wosWOS:000788060600006
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectstatistical convergence
dc.subjectf-statistical convergence
dc.subjectCesaro convergence
dc.subjectstrongly Cesaro convergence
dc.subjectdiscrete derivative
dc.titleOn f-strongly Cesaro and f-statistical derivable functions
dc.typeArticle

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