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


Georgiou D. N. , Megaritis A. C. , ÖZÇAĞ S.

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, vol.59, no.1, pp.103-117, 2018 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 59 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.14712/1213-7243.2015.231
  • Title of Journal : COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE
  • Page Numbers: pp.103-117

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., Koeinac 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].