# A-Statistical Convergence of Subsequence of Double Sequences

Bollettino dell'Unione Matematica Italiana (2007)

- Volume: 10-B, Issue: 3, page 727-739
- ISSN: 0392-4041

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topMiller, Harry I.. "A-Statistical Convergence of Subsequence of Double Sequences." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 727-739. <http://eudml.org/doc/290396>.

@article{Miller2007,

abstract = {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.},

author = {Miller, Harry I.},

journal = {Bollettino dell'Unione Matematica Italiana},

language = {eng},

month = {10},

number = {3},

pages = {727-739},

publisher = {Unione Matematica Italiana},

title = {A-Statistical Convergence of Subsequence of Double Sequences},

url = {http://eudml.org/doc/290396},

volume = {10-B},

year = {2007},

}

TY - JOUR

AU - Miller, Harry I.

TI - A-Statistical Convergence of Subsequence of Double Sequences

JO - Bollettino dell'Unione Matematica Italiana

DA - 2007/10//

PB - Unione Matematica Italiana

VL - 10-B

IS - 3

SP - 727

EP - 739

AB - 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.

LA - eng

UR - http://eudml.org/doc/290396

ER -

## References

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