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

• Journal title : Kyungpook mathematical journal
• Volume 51, Issue 4,  2011, pp.385-393
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2011.51.4.385
Title & Authors
On Some Lacunary Generalized Difference Sequence Spaces of Invariant Means De ned by a Sequence of Modulus Function
Atici, Gulcan; Bektas, Cigdem Asma;

Abstract
The aim of this paper is to introduce and study the sequence spaces [w, $\small{{\theta}}$, F, p, q]$\small{_{\infty}({\Delta}_{\upsilon}^m)}$, [w, $\small{{\theta}}$, F, p, q]$\small{_1({\Delta}_{\upsilon}^m)}$ and [w, $\small{{\theta}}$, F, p, q]$\small{_0({\Delta}_{\upsilon}^m)}$, which arise from the notions of generalized difference sequence space, lacunary convergence, invariant mean and a sequence of Moduli $\small{F=(f_k)}$. We establish some inclusion relations between these spaces under some conditions.
Keywords
Invariant mean;Difference sequence spaces;lacunary sequence;modulus function;
Language
English
Cited by
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