Copy For Citation
KARA E. E.
Journal of Inequalities and Applications, vol.2013, 2013 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
2013
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Publication Date:
2013
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Doi Number:
10.1186/1029-242x-2013-38
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Journal Name:
Journal of Inequalities and Applications
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Keywords:
α-, β-, γ -duals, Banach-Saks type p, Difference matrix, Fibonacci numbers, Fixed point property, Matrix transformations, Sequence spaces
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Bilecik Şeyh Edebali University Affiliated:
Yes
Abstract
In the present paper, we introduce a new band matrix F and define the sequence Space where fk is the kth Fibonacci number for every k ∈ N. We also establish some inclusion relations concerning this space and determine its α-, β-, γ -duals. Further, we characterize some matrix classes on the space ℓp(F ) and examine some geometric properties of this space. © 2013 Kara; licensee Springer.