On the B-difference sequence space derived by generalized weighted mean and compact operators

Başarır, Metin

dc.contributor.authors	Basarir, M; Kara, EE;
dc.date.accessioned	2020-01-17T08:21:45Z
dc.date.available	2020-01-17T08:21:45Z
dc.date.issued	2012
dc.identifier.citation	Basarir, M; Kara, EE; (2012). On the B-difference sequence space derived by generalized weighted mean and compact operators. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 391, 81-67
dc.identifier.issn	0022-247X
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6152
dc.description.abstract	In the present paper, by using generalized weighted mean and difference matrix B, we introduce the paranormed sequence space l(u, v, p; B) which consist of all sequences whose generalized weighted B-difference means are in the linear space l(p) introduced by I.J. Maddox. Also, we give the basis of this space and compute its alpha-, beta- and gamma-duals. Further, we characterize the classes of matrix mappings from l(u, v, p; B) to l(infinity), c and c(0). Finally, we apply the Hausdorff measure of noncompactness to characterize some classes of compact operators given by matrices on the space lp(u, v; B) (1 <= p < infinity). (c) 2012 Elsevier Inc. All rights reserved.
dc.description.uri	https://doi.org/10.1016/j.jmaa.2012.02.031
dc.language	English
dc.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE
dc.subject	Mathematics
dc.title	On the B-difference sequence space derived by generalized weighted mean and compact operators
dc.type	Article
dc.identifier.volume	391
dc.identifier.startpage	67
dc.identifier.endpage	81
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Başarır, Metin
dc.relation.journal	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
dc.identifier.wos	WOS:000301682000007
dc.identifier.doi	10.1016/j.jmaa.2012.02.031
dc.identifier.eissn	1096-0813
dc.contributor.author	Başarır, Metin