Geodesic
A-Statistical Convergence of Subsequence of Double Sequences
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 727-739.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The concept of statistical convergence of a sequence was first introduced by H. Fast [7] in 1951. Recently, in the literature, the concept of statistical convergence of double sequences has been studied. The main result in this paper is a theorem that gives meaning to the statement: $s={s_{ij}}$ converges statistically $A$ to $L$ if and only if "most" of the "subsequences" of $s$ converge to $L$ in the ordinary sense. The results presented here are analogue of theorems in [12], [13] and [6] and are concerned with $A$ statistical convergence, first introduced by Freedman and Sember [8]. Other related problems are considered.
Il concetto di convergenza statistica di una successione fu introdotto per la prima volta da H. Fast [7] nel 1951. Recentemente, nella letteratura è stato studiato il concetto di convergenza statistica di successioni doppie. Il risultato principale di questo lavoro è un teorema che dà significato all'affermazione: $s={s_{ij}}$ converge $A$ statisticamente a $L$ se e solo se "la maggior parte" delle "sottosuccessioni" di $s$ convergono a $L$ nel senso ordinario. I risultati presentati qui sono l'analogo dei teoremi di [12], [13] e [6] e riguardano la convergenza $A$ statistica introdotta per la prima volta da Freedman e Sember [8]. Vengono anche presi in considerazione altri problemi correlati. 
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Miller, Harry I. A-Statistical Convergence of Subsequence of Double Sequences. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 727-739. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a17/

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