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http://dx.doi.org/10.5666/KMJ.2010.50.3.389

On Some New Generalized Di erence Statistically Convergen Sequence Spaces De ned by a Sequence of Orlicz Function  

Bekt, Cigdem Asma (Department of Mathematics, Firat University)
Atici, Gulcan (Department of Mathematics, Mus Alparslan University)
Publication Information
Kyungpook Mathematical Journal / v.50, no.3, 2010 , pp. 389-397 More about this Journal
Abstract
In this paper we introduce the new generalized difference sequence space $\ell_\infty$($\Delta_v^n$, M,p,q,s), $\bar{c}$($\Delta_v^n$,M,p,q,s), $\bar{c_0}$($\Delta_v^n$,M,p,q,s), m($\Delta_v^n$,M,p,q,s) and $m_0$($\Delta_v^n$,M,p,q,s) defined over a seminormed sequence space (X,q). We study some of it properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.
Keywords
Difference sequence spaces; statistical convergence; seminorm;
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Times Cited By KSCI : 1  (Citation Analysis)
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