A Characterization of Completeness via Absolutely Convergent Series and the Weierstrass Test in Asymmetric Normed Semilinear Spaces
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Asymmetric normed semilinear spaces are studied.
A description of biBanach, left K-sequentially complete, and Smyth complete asymmetric normed semilinear spaces is provided and three appropriate notions of absolute convergence in the asymmetric normed framework are introduced.
Some characterizations of completeness are also obtained via absolutely convergent series.
Moreover, as an application, a Weierstrass test for the convergence of series is derived.
American Psychological Association (APA)
Shahzad, Naseer& Valero, O.. 2014. A Characterization of Completeness via Absolutely Convergent Series and the Weierstrass Test in Asymmetric Normed Semilinear Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014296
Modern Language Association (MLA)
Shahzad, Naseer& Valero, O.. A Characterization of Completeness via Absolutely Convergent Series and the Weierstrass Test in Asymmetric Normed Semilinear Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014296
American Medical Association (AMA)
Shahzad, Naseer& Valero, O.. A Characterization of Completeness via Absolutely Convergent Series and the Weierstrass Test in Asymmetric Normed Semilinear Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014296
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014296
