Statistical convergence of sequences of functions with values in semi-uniform spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 1, pp. 103-117.

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We study several kinds of statistical convergence of sequences of functions with values in semi-uniform spaces. Particularly, we generalize to statistical convergence the classical results of C. Arzelà, Dini and P.S. Alexandroff, as well as their statistical versions studied in [Caserta A., Di Maio G., Kočinac L.D.R., {Statistical convergence in function spaces},. Abstr. Appl. Anal. 2011, Art. ID 420419, 11 pp.] and [Caserta A., Kočinac L.D.R., {On statistical exhaustiveness}, Appl. Math. Lett. 25 (2012), no. 10, 1447--1451].
DOI : 10.14712/1213-7243.2015.231
Classification : 40A30, 40A35, 54A20, 54E15
Keywords: statistical convergence; semi-uniform space; sequence; function; continuity
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Georgiou, Dimitrios N.; Megaritis, Athanasios C.; Özçağ, Selma. Statistical convergence of sequences  of functions with values in semi-uniform spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 59 (2018) no. 1, pp. 103-117. doi : 10.14712/1213-7243.2015.231. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.231/

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