| Title:
|
$\mu$-statistically convergent function sequences (English) |
| Author:
|
Duman, O. |
| Author:
|
Orhan, C. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
2 |
| Year:
|
2004 |
| Pages:
|
413-422 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper we are concerned with convergence in $\mu $-density and $\mu $-statistical convergence of sequences of functions defined on a subset $D$ of real numbers, where $\mu $ is a finitely additive measure. Particularly, we introduce the concepts of $\mu $-statistical uniform convergence and $\mu $-statistical pointwise convergence, and observe that $\mu $-statistical uniform convergence inherits the basic properties of uniform convergence. (English) |
| Keyword:
|
pointwise and uniform convergence |
| Keyword:
|
$\mu $-statistical convergence |
| Keyword:
|
convergence in $\mu $-density |
| Keyword:
|
finitely additive measure |
| Keyword:
|
additive property for null sets |
| MSC:
|
40A30 |
| idZBL:
|
Zbl 1080.40501 |
| idMR:
|
MR2059262 |
| . |
| Date available:
|
2009-09-24T11:13:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127899 |
| . |
| Reference:
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| . |
