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http://dx.doi.org/10.5666/KMJ.2011.51.4.385

On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means De ned by a Sequence of Modulus Function  

Atici, Gulcan (Department of Mathematics, Mus Alparslan University)
Bektas, Cigdem Asma (Department of Mathematics, Firat University)
Publication Information
Kyungpook Mathematical Journal / v.51, no.4, 2011 , pp. 385-393 More about this Journal
Abstract
The aim of this paper is to introduce and study the sequence spaces [w, ${\theta}$, F, p, q]$_{\infty}({\Delta}_{\upsilon}^m)$, [w, ${\theta}$, F, p, q]$_1({\Delta}_{\upsilon}^m)$ and [w, ${\theta}$, F, p, q]$_0({\Delta}_{\upsilon}^m)$, which arise from the notions of generalized difference sequence space, lacunary convergence, invariant mean and a sequence of Moduli $F=(f_k)$. We establish some inclusion relations between these spaces under some conditions.
Keywords
Invariant mean; Difference sequence spaces; lacunary sequence; modulus function;
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Times Cited By KSCI : 2  (Citation Analysis)
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