Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties

We introduce an ℓ(p)-type new sequence space and investigate its some topological properties including AK and AD properties. Besides, we examine some geometric properties of this space concerning Banach-Saks type p and Gurarii's modulus of convexity.

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Main Authors: Ekrem Savaş, Vatan Karakaya, Necip Şimşek
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/696971
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author Ekrem Savaş
Vatan Karakaya
Necip Şimşek
author_facet Ekrem Savaş
Vatan Karakaya
Necip Şimşek
author_sort Ekrem Savaş
collection DOAJ
description We introduce an ℓ(p)-type new sequence space and investigate its some topological properties including AK and AD properties. Besides, we examine some geometric properties of this space concerning Banach-Saks type p and Gurarii's modulus of convexity.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2009-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-4ec74eeb3f9b4b6ca9e6c3cbe596783c2025-02-03T06:01:17ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/696971696971Some ℓ(p)-Type New Sequence Spaces and Their Geometric PropertiesEkrem Savaş0Vatan Karakaya1Necip Şimşek2Department of Mathematics, İstanbul Commerce University, Uskudar 36472, İstanbul, TurkeyDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, 34210, Esenler, İstanbul, TurkeyDepartment of Mathematics, Faculty of Arts and Science, Adıyaman University, 02040, Adıyaman, TurkeyWe introduce an ℓ(p)-type new sequence space and investigate its some topological properties including AK and AD properties. Besides, we examine some geometric properties of this space concerning Banach-Saks type p and Gurarii's modulus of convexity.http://dx.doi.org/10.1155/2009/696971
spellingShingle Ekrem Savaş
Vatan Karakaya
Necip Şimşek
Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties
Abstract and Applied Analysis
title Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties
title_full Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties
title_fullStr Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties
title_full_unstemmed Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties
title_short Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties
title_sort some l p type new sequence spaces and their geometric properties
url http://dx.doi.org/10.1155/2009/696971
work_keys_str_mv AT ekremsavas somelptypenewsequencespacesandtheirgeometricproperties
AT vatankarakaya somelptypenewsequencespacesandtheirgeometricproperties
AT necipsimsek somelptypenewsequencespacesandtheirgeometricproperties