| Title:
|
On Denjoy type extensions of the Pettis integral (English) |
| Author:
|
Naralenkov, Kirill |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
3 |
| Year:
|
2010 |
| Pages:
|
737-750 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper two Denjoy type extensions of the Pettis integral are defined and studied. These integrals are shown to extend the Pettis integral in a natural way analogous to that in which the Denjoy integrals extend the Lebesgue integral for real-valued functions. The connection between some Denjoy type extensions of the Pettis integral is examined. (English) |
| Keyword:
|
scalar derivative |
| Keyword:
|
approximate scalar derivative |
| Keyword:
|
absolute continuity |
| Keyword:
|
bounded variation |
| Keyword:
|
$VBG$ function |
| Keyword:
|
$ACG$ function |
| Keyword:
|
Pettis integral |
| Keyword:
|
Denjoy-Pettis integral |
| MSC:
|
26A39 |
| MSC:
|
26B30 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 1224.26028 |
| idMR:
|
MR2672413 |
| . |
| Date available:
|
2010-07-20T17:15:53Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140602 |
| . |
| 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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