Statistical summability of double sequences through de la Vallée-Poussin mean in probabilistic normed spaces
type: Item
instance of: scholarly article
title: Statistical summability of double sequences through de la Vallée-Poussin mean in probabilistic normed spaces
zbMATH Open document ID: 1303.40004
DOI: 10.1155/2013/215612
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: The purpose of this paper is to define some new types of summability methods for double sequences involving the ideas of de la Vallée-Poussin mean in the framework of probabilistic normed spaces and establish some interesting results.
Mathematics Subject Classification ID: 40J05
Mathematics Subject Classification ID: 40B05
Mathematics Subject Classification ID: 46S50
zbMATH DE Number: 6306540
zbMATH Keywords: double sequence
zbMATH Keywords: de la Vallée-Poussin mean
zbMATH Keywords: probabilistic normed space
author: S. A. Mohiuddine
author: Abdullah Alotaibi
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/215612
OpenAlex ID: W2052875146
Wikidata QID: Q58915582
cites work: Sur la convergence statistique
cites work: The Integrability of Certain Functions and Related Summability Methods
cites work: Q3878090
cites work: ON STATISTICAL CONVERGENCE
cites work: Summability in topological spaces
cites work: Statistical summability through a lacunary sequence in locally solid Riesz spaces
cites work: Q3559499
cites work: Q4913471
cites work: Generalized statistical convergence
cites work: Weighted statistical convergence and its application to Korovkin type approximation theorem
cites work: Ideal convergence in 2-normed spaces
cites work: On lacunary ideal convergence in random \(n\)-normed space
cites work: Statistical convergence of double sequences
cites work: Statistical convergence of double sequences in intuitionistic fuzzy normed spaces
cites work: Statistical convergence of double sequences in fuzzy normed spaces
cites work: Statistical convergence of double sequences of order \(\tilde{\alpha}\)
cites work: Statistical convergence of double sequences in locally solid Riesz spaces
cites work: Double lacunary density and some inclusion results in locally solid Riesz spaces
cites work: A characterization of the class of statistically pre-Cauchy double sequences of fuzzy numbers
cites work: Q4523132
cites work: Generalized weighted statistical convergence and application
cites work: \(\lambda\)-statistical convergence of order \(\alpha\)
cites work: Strongly \((V^\lambda , A, \Delta ^n_{[vm)}, p)\)-summable sequence spaces defined by an Orlicz function
cites work: Korovkin type approximation theorems obtained through generalized statistical convergence
cites work: On \({\lambda}\)-statistical convergence of order \({\alpha}\) of sequences of function
cites work: On generalized statistical convergence in intuitionistic fuzzy normed space
cites work: A new variant of statistical convergence
cites work: Generalized statistical convergence and statistical core of double sequences
cites work: $\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces
cites work: Triangular norms
cites work: Statistical Metrics
cites work: On the definition of a probabilistic normed space
cites work: Statistical metric spaces
cites work: Q3336431
description: scientific article; zbMATH DE number 6306540