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Rough [Formula: see text] -lacunary statistical convergence of double sequences

In this paper, we introduce and study the notion of rough [Formula: see text] -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough [Formula: see text] -lacunary statistical limit set of a double sequence and discuss some properties of t...

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Detalles Bibliográficos
Autores principales: Kişi, Ömer, Dündar, Erdinç
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6132385/
https://www.ncbi.nlm.nih.gov/pubmed/30839673
http://dx.doi.org/10.1186/s13660-018-1831-7
Descripción
Sumario:In this paper, we introduce and study the notion of rough [Formula: see text] -lacunary statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough [Formula: see text] -lacunary statistical limit set of a double sequence and discuss some properties of this set.