ON SOME NEW SEQUENCE SPACES DEFINED BY q-PASCAL MATRIX

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dc.authoridHAZARIKA, BIPAN/0000-0002-0644-0600
dc.authorwosidHAZARIKA, BIPAN/AAQ-3857-2020
dc.contributor.authorYaying, Taja
dc.contributor.authorHazarika, Bipan
dc.contributor.authorBasar, Feyzi
dc.date.accessioned2024-08-04T20:53:02Z
dc.date.available2024-08-04T20:53:02Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, we construct the q-analog P(q) of Pascal matrix and study the sequence spaces c(P(q)) and c(0)(P(q)) defined as the domain of q-Pascal matrix P(q) in the spaces c and c(0), respectively. We investigate certain topological properties, determine Schauder bases and compute Kothe duals of the spaces c(0)(P(q)) and c(P(q)). We state and prove the theorems characterizing the classes of matrix mappings from the space c(P(q)) to the spaces l(infinity) of bounded sequences and f of almost convergent sequences. Additionally, we also derive the characterizations of some classes of infinite matrices as a direct consequence of the results about the classes (c(P (q)), l(infinity)) and (c(P(q)), f)). Finally, we obtain the necessary and sufficient conditions for a matrix operator to be compact from the space c(0)(P (q)) to anyone of the spaces l(infinity), c, c(0), l(1), cs(0), cs, bs.en_US
dc.description.sponsorshipSERB, DST, New Delhi, India [EEQ/2019/000082]en_US
dc.description.sponsorshipThe research of the first author (T. Yaying) is supported by SERB, DST, New Delhi, India under the grant number EEQ/2019/000082. The authors have benefited much from the constructive report and suggestions of the reviewer. So, they are indebted to reviewer for his/her valuable suggestions and comments on the first draft of the manuscript which improved the presentation and readability.en_US
dc.identifier.endpage113en_US
dc.identifier.issn2346-8092
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85138203474en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage99en_US
dc.identifier.urihttps://hdl.handle.net/11616/100896
dc.identifier.volume176en_US
dc.identifier.wosWOS:000774299000008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIvane Javakhishvili Tbilisi State Univen_US
dc.relation.ispartofTransactions of A Razmadze Mathematical Instituteen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSequence spaceen_US
dc.subjectq-Pascal matrixen_US
dc.subjectSchauder basisen_US
dc.subjectKothe dualsen_US
dc.subjectMatrix mappingsen_US
dc.subjectCompact operatoren_US
dc.titleON SOME NEW SEQUENCE SPACES DEFINED BY q-PASCAL MATRIXen_US
dc.typeArticleen_US

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