| Title:
|
Statistical convergence of subsequences of a given sequence (English) |
| Author:
|
Mačaj, M. |
| Author:
|
Šalát, T. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
126 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
191-208 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is closely related to the paper of Harry I. Miller: Measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347 (1995), 1811–1819 and contains a general investigation of statistical convergence of subsequences of an arbitrary sequence from the point of view of Lebesgue measure, Hausdorff dimensions and Baire’s categories. (English) |
| Keyword:
|
asymptotic density |
| Keyword:
|
statistical convergence |
| Keyword:
|
Lebesgue measure |
| Keyword:
|
Hausdorff dimension |
| Keyword:
|
Baire category |
| MSC:
|
11K55 |
| MSC:
|
18B05 |
| MSC:
|
40A05 |
| idZBL:
|
Zbl 0978.40001 |
| idMR:
|
MR1826482 |
| DOI:
|
10.21136/MB.2001.133923 |
| . |
| Date available:
|
2009-09-24T21:49:03Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133923 |
| . |
| Reference:
|
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