A New Difference Sequence Set of Order α and Its Geometrical Properties

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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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.405-408-342
Hauptverfasser: Et, Mikail, Karakaya, Vatan
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/278907