On lacunary mean ideal convergence in generalized random \(n\)-normed spaces
type: Item
instance of: scholarly article
title: On lacunary mean ideal convergence in generalized random \(n\)-normed spaces
zbMATH Open document ID: 1472.40002
DOI: 10.1155/2014/101782
author: A. A. Bakery
author: Mustafa M. Mohammed
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: An ideal \(I\) is a hereditary and additive family of subsets of positive integers \(\mathbb N\). In this paper, we will introduce the concept of generalized random \(n\)-normed space as an extension of random \(n\)-normed space. Also, we study the concept of lacunary mean (\(L\))-ideal convergence and \(L\)-ideal Cauchy for sequences of complex numbers in the generalized random \(n\)-norm. We introduce \(I_L\)-limit points and \(I_L\)-cluster points. Furthermore, Cauchy and \(I_L\)-Cauchy sequences in this construction are given. Finally, we find relations among these concepts.
Mathematics Subject Classification ID: 40A35
Mathematics Subject Classification ID: 40J05
zbMATH DE Number: 7021733
zbMATH Keywords: ideal
zbMATH Keywords: ideal convergence
zbMATH Keywords: random $n$-normed space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/101782
OpenAlex ID: W2024411000
Wikidata QID: Q59035187
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description: scientific article; zbMATH DE number 7021733