On Sequence Spaces Due to lth Order q-Difference Operator and its Spectrum

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dc.contributor.authorYaying, Taja
dc.contributor.authorHazarika, Bipan
dc.contributor.authorMohiuddine, Syed Abdul
dc.contributor.authorMikail, E. T.
dc.date.accessioned2026-08-12T17:20:57Z
dc.date.issued2023
dc.departmentFırat Üniversitesi
dc.description.abstractWe present a quantum analog del(l)(q) of the lth order backward difference operator del(l) and analyze its basic properties. We study the sequence spaces c(del(l)(q)) and c(0) (del(l)(q)) defined as the domain of del(l)(q) in the spaces c and c(0), respectively. Some basic properties, inclusion relations, Schauder basis, and alpha-,beta-, and gamma-duals of the spaces c(0)(del(l)(q)) and c(del(l)(q)) are obtained. Some theorems characterizing matrix transformations related to these spaces are stated and proved. Finally, we analyze the spectral divisions of del(l)(q) over the space c(0):
dc.description.sponsorshipSERB, DST, New Delhi, India [EEQ/2019/000082]
dc.description.sponsorshipAcknowledgementsThe work of the first author (TY) is supported by SERB, DST, New Delhi, India under the Grant Number EEQ/2019/000082. All the authors thank the reviewers for making necessary comments that improved the presentation of the paper.
dc.identifier.doi10.1007/s40995-023-01487-7
dc.identifier.endpage1281
dc.identifier.issn2731-8095
dc.identifier.issn2731-8109
dc.identifier.issue4
dc.identifier.orcid0000-0003-3435-8417
dc.identifier.orcid0000-0001-8292-7819
dc.identifier.scopus2-s2.0-85164007388
dc.identifier.scopusqualityQ3
dc.identifier.startpage1271
dc.identifier.urihttps://doi.org/10.1007/s40995-023-01487-7
dc.identifier.urihttps://hdl.handle.net/11508/53753
dc.identifier.volume47
dc.identifier.wosWOS:001022470900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Int Publ Ag
dc.relation.ispartofIranian Journal of Science
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectSequence space
dc.subjectQuantum difference operator
dc.subjectSchauder basis
dc.subjectDuals
dc.subjectMatrix transformation
dc.subjectSpectrum
dc.titleOn Sequence Spaces Due to lth Order q-Difference Operator and its Spectrum
dc.typeArticle

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