| Title:
|
A New Sequence Space Defined by a Sequence of Orlicz Functions over $n$-Normed Spaces (English) |
| Author:
|
Raj, Kuldip |
| Author:
|
Sharma, Sunil K. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2012 |
| Pages:
|
89-100 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we introduce a new sequence space $ BV_{\sigma }(\mathcal {M},u,p,r, \Vert \cdot , \ldots , \cdot \Vert )$ defined by a sequence of Orlicz functions $\mathcal {M} = (M_k)$ and study some topological properties of this sequence space. (English) |
| Keyword:
|
paranorm space |
| Keyword:
|
invariant mean |
| Keyword:
|
orlicz function |
| Keyword:
|
Musielak–orlicz function |
| Keyword:
|
$n$-normed space |
| Keyword:
|
solid |
| MSC:
|
40A05 |
| MSC:
|
40D05 |
| MSC:
|
46A45 |
| idZBL:
|
Zbl 06204923 |
| idMR:
|
MR3060011 |
| . |
| Date available:
|
2012-06-25T08:25:56Z |
| Last updated:
|
2014-03-12 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142876 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
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[16] Raj K., Sharma, S. K., Sharma A. K.: Some difference sequence spaces in $n$-normed spaces defined by Musielak–Orlicz function. Armenian J. Math. 3 (2010), 127–141. MR 2792497 |
| Reference:
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| Reference:
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