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Generalized Almost Convergence and Core Theorems of Double Sequences
Joint Authors
Alotaibi, Abdullah
Mohiuddine, Syed Abdul
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The idea of [ λ , μ ] -almost convergence (briefly, F [ λ , μ ] -convergence) has been recently introduced and studied by Mohiuddine and Alotaibi (2014).
In this paper first we define a norm on F [ λ , μ ] such that it is a Banach space and then we define and characterize those four-dimensional matrices which transform F [ λ , μ ] -convergence of double sequences x = ( x j k ) into F [ λ , μ ] -convergence.
We also define a F [ λ , μ ] -core of x = ( x j k ) and determine a Tauberian condition for core inclusions and core equivalence.
American Psychological Association (APA)
Mohiuddine, Syed Abdul& Alotaibi, Abdullah. 2014. Generalized Almost Convergence and Core Theorems of Double Sequences. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013360
Modern Language Association (MLA)
Mohiuddine, Syed Abdul& Alotaibi, Abdullah. Generalized Almost Convergence and Core Theorems of Double Sequences. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1013360
American Medical Association (AMA)
Mohiuddine, Syed Abdul& Alotaibi, Abdullah. Generalized Almost Convergence and Core Theorems of Double Sequences. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1013360
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013360