| Title:
|
On some convexity properties in the Besicovitch-Musielak-Orlicz space of almost periodic functions with Luxemburg norm (English) |
| Author:
|
Bedouhene, Fazia |
| Author:
|
Daoui, Amina |
| Author:
|
Kourat, Hocine |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
53 |
| Issue:
|
4 |
| Year:
|
2012 |
| Pages:
|
535-547 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost periodic functions $(\widetilde{B}^{\varphi }a.p.)$ endowed with the Luxemburg norm. (English) |
| Keyword:
|
local uniform convexity |
| Keyword:
|
uniform convexity in every direction |
| Keyword:
|
mid point locally uniform |
| Keyword:
|
H-property |
| Keyword:
|
strict convexity |
| Keyword:
|
approximation |
| Keyword:
|
Besicovitch-Musielak-Orlicz space |
| Keyword:
|
almost periodic function |
| MSC:
|
42A75 |
| MSC:
|
46B20 |
| idMR:
|
MR3016424 |
| . |
| Date available:
|
2013-03-02T13:38:07Z |
| Last updated:
|
2015-02-11 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143188 |
| . |
| 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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| 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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