Geodesic
$\mu$-statistically convergent function sequences
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 413-422
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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 
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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/

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