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

• Journal title : Kyungpook mathematical journal
• Volume 50, Issue 3,  2010, pp.389-397
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2010.50.3.389
Title & Authors
On Some New Generalized Di erence Statistically Convergen Sequence Spaces De ned by a Sequence of Orlicz Function
Bekt, Cigdem Asma; Atici, Gulcan;

Abstract
In this paper we introduce the new generalized difference sequence space $\small{\ell_\infty}$($\small{\Delta_v^n}$, M,p,q,s), $\small{\bar{c}}$($\small{\Delta_v^n}$,M,p,q,s), $\small{\bar{c_0}}$($\small{\Delta_v^n}$,M,p,q,s), m($\small{\Delta_v^n}$,M,p,q,s) and $\small{m_0}$($\small{\Delta_v^n}$,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;
Language
English
Cited by
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