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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Bibliographic Details
Main Authors: Mikail Et, Vatan Karakaya
Format: Article
Language:English
Published: Wiley 2014-01-01
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.
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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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