| Title:
|
Lacunary strong convergence with respect to a sequence of modulus functions (English) |
| Author:
|
Pehlivan, Serpil |
| Author:
|
Fisher, Brian |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
69-76 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The definition of lacunary strong convergence is extended to a definition of lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. We study some connections between lacunary statistical convergence and lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. (English) |
| Keyword:
|
lacunary sequence |
| Keyword:
|
modulus function |
| Keyword:
|
statistical convergence |
| Keyword:
|
Banach space |
| MSC:
|
40A05 |
| MSC:
|
40F05 |
| MSC:
|
40G99 |
| MSC:
|
40J05 |
| MSC:
|
46A45 |
| idZBL:
|
Zbl 0821.40001 |
| idMR:
|
MR1334415 |
| . |
| Date available:
|
2009-01-08T18:16:05Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118733 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
