| Title:
|
Some sequence spaces defined by Orlicz functions (English) |
| Author:
|
Savaş, E. |
| Author:
|
Savaş, R. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
33-40 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we introduce a new concept of $\lambda $-strong convergence with respect to an Orlicz function and examine some properties of the resulting sequence spaces. It is also shown that if a sequence is $\lambda $-strongly convergent with respect to an Orlicz function then it is $\lambda $-statistically convergent. (English) |
| Keyword:
|
sequence spaces |
| Keyword:
|
Orlicz function |
| Keyword:
|
de la Vallée-Poussin means |
| MSC:
|
40H05 |
| MSC:
|
46A45 |
| idZBL:
|
Zbl 1115.40005 |
| idMR:
|
MR2054870 |
| . |
| Date available:
|
2008-06-06T22:42:48Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107888 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[7] Mursaleen: $\lambda $-statistical convergence.Math. Slovaca 50, No.1 (2000), 111–115. Zbl 0953.40002, MR 1764349 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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[11] Savaş E.: Strongly almost convergent sequences defined by Orlicz functions.Comm. Appl. Anal. 4 (2000), 453–458. Zbl 1084.46513, MR 1843760 |
| Reference:
|
[12] Savaş E.: Strong almost convergence and almost $\lambda $-statistical convergence.Hokkaido Math. J. 24(3), (2000), 531–536. Zbl 0963.40001, MR 1795490 |
| Reference:
|
[13] Savaş E., Rhoades B. E.: On some new sequence spaces of invariant means defined by Orlicz functions.Math. Inequal. Appl. 5(2) (2002), 271–281. Zbl 1010.46006, MR 1899095 |
| Reference:
|
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| . |
