On the Generalized B-m-Riesz Difference Sequence Space and beta-Property

Başarır, Metin

dc.contributor.authors	Basarir, M; Kayikci, M;
dc.date.accessioned	2020-01-17T08:21:44Z
dc.date.available	2020-01-17T08:21:44Z
dc.date.issued	2009
dc.identifier.citation	Basarir, M; Kayikci, M; (2009). On the Generalized B-m-Riesz Difference Sequence Space and beta-Property. JOURNAL OF INEQUALITIES AND APPLICATIONS, , -
dc.identifier.issn	1029-242X
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6127
dc.description.abstract	We introduce the generalized Riesz difference sequence space r(q)(p, B-m) which is defined by r(q)(p, B-m) = {x = (x(k)) is an element of w : B(m)x is an element of r(q)(p)} where r(q)(p) is the Riesz sequence space defined by Altay and Basar. We give some topological properties, compute the alpha_, beta_ duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix mappings on this sequence space. At the end of the paper, we investigate some geometric properties of r(q)(p, B-m) and we have proved that this sequence space has property (beta) for p(k) >= 1. Copyright (C) 2009 M. Basarir and M. Kayikci.
dc.description.uri	https://doi.org/10.1155/2009/385029
dc.language	English
dc.publisher	SPRINGER INTERNATIONAL PUBLISHING AG
dc.subject	Mathematics
dc.title	On the Generalized B-m-Riesz Difference Sequence Space and beta-Property
dc.type	Article
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Başarır, Metin
dc.relation.journal	JOURNAL OF INEQUALITIES AND APPLICATIONS
dc.identifier.wos	WOS:000270606300001
dc.identifier.doi	10.1155/2009/385029
dc.contributor.author	Başarır, Metin