μ-Statistically Convergent Function Sequences

In the present paper we are concerned with convergence in μ-density and μ-statistical convergence of sequences of functions defined on a subset D of real numbers, where μ is a finitely additive measure. Particularly, we introduce the concepts of μ-statistical uniform convergence and μ-statistical pointwise convergence, and observe that μ-statistical uniform convergence inherits the basic properties of uniform convergence.

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