Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces
Joint Authors
Alotaibi, Abdullah
Hazarika, Bipan
Mohiuddine, Syed Abdul
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-07
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We define the notions of double statistically convergent and double lacunary statistically convergent sequences in locally solid Riesz space and establish some inclusion relations between them.
We also prove an extension of a decomposition theorem in this setup.
Further, we introduce the concepts of double θ-summable and double statistically lacunary summable in locally solid Riesz space and establish a relationship between these notions.
American Psychological Association (APA)
Mohiuddine, Syed Abdul& Hazarika, Bipan& Alotaibi, Abdullah. 2013. Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-477192
Modern Language Association (MLA)
Mohiuddine, Syed Abdul…[et al.]. Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-477192
American Medical Association (AMA)
Mohiuddine, Syed Abdul& Hazarika, Bipan& Alotaibi, Abdullah. Double Lacunary Density and Some Inclusion Results in Locally Solid Riesz Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-477192
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477192