Statistical convergence of multiple sequences

By F. Móricz. 2003

218 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/96904f1501fbedaec1ed4162ffe9a88c93fed454

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In Applied Mathematics

In Numerical Analysis

In Statistics and Probability

Citations in the corpus

On ideal convergence of double sequences in probabilistic normed spaces (2011, background): “We also define ∮ -Cauchy and ∮ - Cauchy double sequences on PN spaces and show that ∮ -convergent double sequences are ∮ -Cauchy on these spaces.”
On rough statistical convergence of double sequences in normed linear spaces (2016, background): “[17] ( also by Moricz [16] who introduced it for multiple sequences) using double natural density of N×N.”
Measure theory of statistical convergence (2008, background): “For example, statistical convergence has been discussed in summability of matrix, series and integral in [3, 4, 5, 13, 32, 36, 61, 94, 110, 123], Fourior analysis in [ 70 , 71, 84], approximation of positive operators in [39–43, 45, 46, 49, 50, 54, 86], number theory in [9], trigonometric series in ”
Korovkin type approximation theorem for functions of two variables in statistical sense (2010, background): “We should note that if we take A = C(1, 1),which is double Cesáro matrix, then C(1, 1)-statistical convergence coincides with the notion of statistical convergence for double sequence, which was introduced in ([10], [11]).”
On I and I ∗ −convergence of double sequences (2007, unknown): “Key words: statistical convergence, I-convergence, I-Cauchy sequences, double sequences AMS subject classifications: 40A05 Received March 10, 2007 Accepted May 19, 2007”
Restricting statistical convergence (2012, methodology): “More recent developments on double sequences can be found in [ 12 ], [1], [2] where some more references can be found.”