POISSON LIKE MATRIX OPERATOR AND ITS APPLICATION IN p-SUMMABLE SPACE

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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.authorIlkhan, Merve
dc.contributor.authorMursaleen, M.
dc.date.accessioned2021-12-01T18:50:45Z
dc.date.available2021-12-01T18:50:45Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractThe incomplete gamma function (a, u) is defined by Gamma(a, u) = integral(infinity)(u) t(a-1)e(-t) dt, where u > 0. Using the incomplete gamma function, we define a new Poisson like regular matrix beta(mu) = (p(nk)(mu)) given by p(nk)(mu) = {n!/Gamma(n+1, mu) e(-mu)mu(k)/k! (0 <= k <= n), 0 (k > n), where mu > 0 is fixed. We introduce the sequence space l(p) (beta(mu)) for 1 <= p <= 1 and some topological properties, inclusion relations and generalized duals of the newly defined space are discussed. Also we characterize certain matrix classes and compact operators related to the space l(p) (beta(mu)). We obtain Gurarii's modulus of convexity and investigate some geometric properties of the new space. Finally, spectrum of the operator beta(mu) on sequence space c(0) has been investigated. (C) 2021 Mathematical Institute Slovak Academy of Sciencesen_US
dc.description.sponsorshipScience and Engineering Research Board (SERB), New Delhi, India [EEQ/2019/000082]en_US
dc.description.sponsorshipThe research of the first author (T. Yaying) is supported by Science and Engineering Research Board (SERB), New Delhi, India under the grant number EEQ/2019/000082.en_US
dc.identifier.doi10.1515/ms-2021-0048
dc.identifier.endpage1210en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85117963627en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1189en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2021-0048
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10920
dc.identifier.volume71en_US
dc.identifier.wosWOS:000704587300011en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofMathematica Slovacaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPoisson matrixen_US
dc.subjectincomplete gamma functionen_US
dc.subjectmatrix transformationsen_US
dc.subjectcompact operatorsen_US
dc.subjectgeometric propertiesen_US
dc.subjectspectrum of matrix operatoren_US
dc.subjectBinomial Difference Operatoren_US
dc.subjectEuler Sequence-Spacesen_US
dc.subjectHausdorff Measureen_US
dc.subjectCompactnessen_US
dc.subjectNoncompactnessen_US
dc.subjectIncludeen_US
dc.subjectL(P)en_US
dc.titlePOISSON LIKE MATRIX OPERATOR AND ITS APPLICATION IN p-SUMMABLE SPACEen_US
dc.typeArticleen_US

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