ON THE mth DIFFERENCE SEQUENCE SPACE OF GENERALIZED WEIGHTED MEAN AND COMPACT OPERATORS

Başarır, Metin

dc.contributor.authors	Basarir, M; Kara, EE;
dc.date.accessioned	2020-01-17T08:21:49Z
dc.date.available	2020-01-17T08:21:49Z
dc.date.issued	2013
dc.identifier.citation	Basarir, M; Kara, EE; (2013). ON THE mth DIFFERENCE SEQUENCE SPACE OF GENERALIZED WEIGHTED MEAN AND COMPACT OPERATORS. ACTA MATHEMATICA SCIENTIA, 33, 813-797
dc.identifier.issn	0252-9602
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6191
dc.description.abstract	In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l(u, v, p; Delta((m))), which consist of the sequences whose generalized weighted Delta((m))-difference means are in the linear space l(p) defined by I.J.Maddox. Also, we determine the basis of this space and compute its alpha-, beta- and gamma-duals. Further, we give the characterization of the classes of matrix mappings from l(u, v, p, Delta((m))) to l(infinity), c, and c(o). Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space l(p)(u, v, Delta((m))) (1 <= p < infinity).
dc.language	English
dc.publisher	SPRINGER
dc.subject	Mathematics
dc.title	ON THE mth DIFFERENCE SEQUENCE SPACE OF GENERALIZED WEIGHTED MEAN AND COMPACT OPERATORS
dc.type	Article
dc.identifier.volume	33
dc.identifier.startpage	797
dc.identifier.endpage	813
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Başarır, Metin
dc.relation.journal	ACTA MATHEMATICA SCIENTIA
dc.identifier.wos	WOS:000319528500016
dc.identifier.eissn	1572-9087
dc.contributor.author	Başarır, Metin