On generalized statistical convergence of double sequences via ideals

The concept of statistical convergence is one of the most active area of research in the field of summability. Most of the new summability methods have relation with this popular method. In this paper we generalize the notions of statistical convergence, ( λ, μ )-statistical convergence, ( V , λ, μ...

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Bibliographic Details
Published in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2012-05, Vol.58 (1), p.11-20
Main Authors: Belen, Cemal, Yildirim, Mustafa
Format: Article
Language:English
Subjects:
Algebraic Geometry
Analysis
Geometry
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Numerical Analysis
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Summary:The concept of statistical convergence is one of the most active area of research in the field of summability. Most of the new summability methods have relation with this popular method. In this paper we generalize the notions of statistical convergence, ( λ, μ )-statistical convergence, ( V , λ, μ ) summability and ( C , 1, 1) summability for a double sequence x  = ( x jk ) via ideals. We also establish the relation between our new methods.
ISSN:0430-3202
1827-1510
DOI:10.1007/s11565-011-0137-1