A study on q-analogue of Catalan sequence spaces

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dc.authorscopusid57191926641
dc.authorscopusid57222424098
dc.authorscopusid24485325700
dc.authorscopusid36052603200
dc.contributor.authorYaying, T.
dc.contributor.authorKara, Merve İlkhan
dc.contributor.authorHazarika, B.
dc.contributor.authorKara, Emrah,Evren
dc.date.accessioned2023-07-26T11:54:26Z
dc.date.available2023-07-26T11:54:26Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0 (C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively. We exhibit some topological properties, obtain Schauder bases and determine ?-, ?-, and ?-duals of the spaces c0 (C(q)) and c(C(q)). Finally, we characterize certain class of matrix mappings from the spaces c0 (C(q)) and c(C(q)) to the space µ = {??, c0, c, ?1 } and give the necessary and sufficient conditions for a matrix operator to be compact. © 2023, University of Nis. All rights reserved.en_US
dc.description.sponsorshipScience and Engineering Research Board, SERB: EEQ/2019/000082en_US
dc.description.sponsorship2020 Mathematics Subject Classification. Primary 46A45; Secondary 46B45, 47B07 Keywords. Sequence space; q-Catalan matrix; Schauder basis; ?-, ?-, ?-duals; Matrix mappings; Compact operator; Hausdorff measure of non-compactness. Received: 21 February 2021; Accepted: 29 August 2021 Communicated by Hari M. Srivastava The research of the first author (T. Yaying) is supported by Science and Engineering Research Board (SERB), New Delhi, India, under the grant EEQ/2019/000082. Email addresses: tajayaying20@gmail.com (Taja Yaying), merveilkhan@gmail.com (Merve İlkhan Kara), bh_rgu@yahoo.co.in; bh_gu@gauhati.ac.in (Corresponding author) (Bipan Hazarika), karaeevren@gmail.com (Emrah Evren Kara)en_US
dc.identifier.doi10.2298/FIL2303839Y
dc.identifier.endpage850en_US
dc.identifier.issn0354-5180
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85146816532en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage839en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2303839Y
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12830
dc.identifier.volume37en_US
dc.identifier.wosWOS:000924043300012en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKara, Merve İlkhan
dc.institutionauthorKara, Emrah Evren
dc.language.isoenen_US
dc.publisherUniversity of Nisen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectCompact operatoren_US
dc.subjectHausdorff measure of non-compactnessen_US
dc.subjectMatrix mappingsen_US
dc.subjectq-Catalan matrixen_US
dc.subjectSchauder basisen_US
dc.subjectSequence spaceen_US
dc.subject?-, ?-, ?-dualsen_US
dc.titleA study on q-analogue of Catalan sequence spacesen_US
dc.typeArticleen_US

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