On f-strongly Cesaro and f-statistical derivable functions

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dc.authoridGarcia-Pacheco, Francisco Javier/0000-0001-6208-6071
dc.authoridALTAY, BİLAL/0000-0002-2400-7122;
dc.authorwosidGarcia-Pacheco, Francisco Javier/A-9975-2012
dc.authorwosidALTAY, BİLAL/ABG-9578-2020
dc.authorwosidKama, Ramazan/AAG-9498-2020
dc.contributor.authorAltay, Bilal
dc.contributor.authorGarcia-Pacheco, Francisco Javier
dc.contributor.authorKama, Ramazan
dc.date.accessioned2024-08-04T20:51:54Z
dc.date.available2024-08-04T20:51:54Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
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.en_US
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]en_US
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.en_US
dc.identifier.doi10.3934/math.2022629
dc.identifier.endpage11291en_US
dc.identifier.issn2473-6988
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85128130220en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage11276en_US
dc.identifier.urihttps://doi.org/10.3934/math.2022629
dc.identifier.urihttps://hdl.handle.net/11616/100601
dc.identifier.volume7en_US
dc.identifier.wosWOS:000788060600006en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectstatistical convergenceen_US
dc.subjectf-statistical convergenceen_US
dc.subjectCesaro convergenceen_US
dc.subjectstrongly Cesaro convergenceen_US
dc.subjectdiscrete derivativeen_US
dc.titleOn f-strongly Cesaro and f-statistical derivable functionsen_US
dc.typeArticleen_US

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