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1. Statistical convergence of sequences of functions with values in semi-uniform spaces

Author

Özçağ Selma, N Georgiou Dimitrios, and C Megaritis Athanasios

Subjects
Discrete mathematics, Sequence, Function space, General Mathematics, Function (mathematics), Statistical convergence, Mathematics
Abstract

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. Arzela, Dini and P.S. Alexandroff, as well as their statistical versions studied in [Caserta A., Di Maio G., Kocinac L.D.R., {Statistical convergence in function spaces},. Abstr. Appl. Anal. 2011, Art. ID 420419, 11 pp.] and [Caserta A., Kocinac L.D.R., {On statistical exhaustiveness}, Appl. Math. Lett. 25 (2012), no. 10, 1447--1451].

Published
2018

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