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

Dimitrios N. Georgiou; Athanasios C. Megaritis; Selma Özçağ

Commentationes Mathematicae Universitatis Carolinae (2018)

  • Volume: 59, Issue: 1, page 103-117
  • ISSN: 0010-2628

Abstract

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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].

How to cite

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Georgiou, Dimitrios N., Megaritis, Athanasios C., and Özçağ, Selma. "Statistical convergence of sequences of functions with values in semi-uniform spaces." Commentationes Mathematicae Universitatis Carolinae 59.1 (2018): 103-117. <http://eudml.org/doc/294307>.

@article{Georgiou2018,
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. 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].},
author = {Georgiou, Dimitrios N., Megaritis, Athanasios C., Özçağ, Selma},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {statistical convergence; semi-uniform space; sequence; function; continuity},
language = {eng},
number = {1},
pages = {103-117},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Statistical convergence of sequences of functions with values in semi-uniform spaces},
url = {http://eudml.org/doc/294307},
volume = {59},
year = {2018},
}

TY - JOUR
AU - Georgiou, Dimitrios N.
AU - Megaritis, Athanasios C.
AU - Özçağ, Selma
TI - Statistical convergence of sequences of functions with values in semi-uniform spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2018
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 59
IS - 1
SP - 103
EP - 117
AB - 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].
LA - eng
KW - statistical convergence; semi-uniform space; sequence; function; continuity
UR - http://eudml.org/doc/294307
ER -

References

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