| Title:
|
Statistical convergence of sequences of functions with values in semi-uniform spaces (English) |
| Author:
|
Georgiou, Dimitrios N. |
| Author:
|
Megaritis, Athanasios C. |
| Author:
|
Özçağ, Selma |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
103-117 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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]. (English) |
| Keyword:
|
statistical convergence |
| Keyword:
|
semi-uniform space |
| Keyword:
|
sequence |
| Keyword:
|
function |
| Keyword:
|
continuity |
| MSC:
|
40A30 |
| MSC:
|
40A35 |
| MSC:
|
54A20 |
| MSC:
|
54E15 |
| idZBL:
|
Zbl 06890399 |
| idMR:
|
MR3783811 |
| DOI:
|
10.14712/1213-7243.2015.231 |
| . |
| Date available:
|
2018-04-17T13:50:59Z |
| Last updated:
|
2020-04-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147181 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| . |
