A New Difference Sequence Set of Order α and Its Geometrical Properties
We introduce a new class of sequences named as mαΔr,ϕ,p and, for this space, we study some inclusion relations, topological properties, and geometrical properties such as order continuous, the Fatou property, and the Banach-Saks property of type p.
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/278907 |
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author | Mikail Et Vatan Karakaya |
author_facet | Mikail Et Vatan Karakaya |
author_sort | Mikail Et |
collection | DOAJ |
description | We introduce a new class of sequences named as mαΔr,ϕ,p and, for this space, we study some inclusion relations, topological properties, and geometrical properties such as order continuous, the Fatou property, and the Banach-Saks property of type p. |
format | Article |
id | doaj-art-9e5da0cb87f94a7680b6d6f8eb09b56b |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-9e5da0cb87f94a7680b6d6f8eb09b56b2025-02-03T01:06:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/278907278907A New Difference Sequence Set of Order α and Its Geometrical PropertiesMikail Et0Vatan Karakaya1Department of Mathematics, Firat University, 23119, Elazğ, TurkeyDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler, 34750 Istanbul, TurkeyWe introduce a new class of sequences named as mαΔr,ϕ,p and, for this space, we study some inclusion relations, topological properties, and geometrical properties such as order continuous, the Fatou property, and the Banach-Saks property of type p.http://dx.doi.org/10.1155/2014/278907 |
spellingShingle | Mikail Et Vatan Karakaya A New Difference Sequence Set of Order α and Its Geometrical Properties Abstract and Applied Analysis |
title | A New Difference Sequence Set of Order α and Its Geometrical Properties |
title_full | A New Difference Sequence Set of Order α and Its Geometrical Properties |
title_fullStr | A New Difference Sequence Set of Order α and Its Geometrical Properties |
title_full_unstemmed | A New Difference Sequence Set of Order α and Its Geometrical Properties |
title_short | A New Difference Sequence Set of Order α and Its Geometrical Properties |
title_sort | new difference sequence set of order α and its geometrical properties |
url | http://dx.doi.org/10.1155/2014/278907 |
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