Geodesic
$\mu$-statistically convergent function sequences
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 413-422 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In the present paper we are concerned with convergence in $\mu $-density and $\mu $-statistical convergence of sequences of functions defined on a subset $D$ of real numbers, where $\mu $ is a finitely additive measure. Particularly, we introduce the concepts of $\mu $-statistical uniform convergence and $\mu $-statistical pointwise convergence, and observe that $\mu $-statistical uniform convergence inherits the basic properties of uniform convergence.
In the present paper we are concerned with convergence in $\mu $-density and $\mu $-statistical convergence of sequences of functions defined on a subset $D$ of real numbers, where $\mu $ is a finitely additive measure. Particularly, we introduce the concepts of $\mu $-statistical uniform convergence and $\mu $-statistical pointwise convergence, and observe that $\mu $-statistical uniform convergence inherits the basic properties of uniform convergence.
Classification : 40A30
Keywords: pointwise and uniform convergence; $\mu $-statistical convergence; convergence in $\mu $-density; finitely additive measure; additive property for null sets 
@article{CMJ_2004_54_2_a13,
     author = {Duman, O. and Orhan, C.},
     title = {$\mu$-statistically convergent function sequences},
     journal = {Czechoslovak Mathematical Journal},
     pages = {413--422},
     year = {2004},
     volume = {54},
     number = {2},
     mrnumber = {2059262},
     zbl = {1080.40501},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a13/}
}
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Duman, O.; Orhan, C. $\mu$-statistically convergent function sequences. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 413-422. http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a13/