A paranormed fractional ordered Euler-Riesz difference sequence space

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dc.authoridBayram, Erdal/0000-0001-8488-359X
dc.contributor.authorBektas, Cigdem A.
dc.contributor.authorBayram, Erdal
dc.date.accessioned2024-10-29T17:58:47Z
dc.date.available2024-10-29T17:58:47Z
dc.date.issued2024
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractIn this study, we introduce a novel sequence space denoted as & ell;((tau))(p) with a fractional order tau. This new space is defined by the matrix B-similar to(Delta((tau))), which is a composition of the Euler-Riesz matrix B-similar to and the fractional ordered difference operator Delta((tau)). We explore its topological properties along with its alpha-, beta-, and gamma-duals. Furthermore, we provide characterizations for certain matrix mappings from & ell;((tau))(p) to the sequence spaces of Maddox.
dc.identifier.doi10.1142/S1793557124500396
dc.identifier.issn1793-5571
dc.identifier.issn1793-7183
dc.identifier.issue5en_US
dc.identifier.urihttps://doi.org/10.1142/S1793557124500396
dc.identifier.urihttps://hdl.handle.net/20.500.11776/14497
dc.identifier.volume17
dc.identifier.wosWOS:001206494200001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofAsian-European Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectEuler-Riesz difference sequence space
dc.subjectdifference operator
dc.subjectparanorm
dc.subjectalpha-
dc.subjectbeta- and gamma-duals
dc.subjectmatrix transformations
dc.titleA paranormed fractional ordered Euler-Riesz difference sequence space
dc.typeArticle

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