| Title:
|
An elementary proof of the theorem that absolute gauge integrability implies Lebesgue integrability (English) |
| Author:
|
Myers, Timothy |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
3 |
| Year:
|
2010 |
| Pages:
|
621-633 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is commonly known that absolute gauge integrability, or Henstock-Kurzweil (H-K) integrability implies Lebesgue integrability. In this article, we are going to present another proof of that fact which utilizes the basic definitions and properties of the Lebesgue and H-K integrals. (English) |
| Keyword:
|
absolute integrability |
| Keyword:
|
gauge Integral |
| Keyword:
|
H-K integral |
| Keyword:
|
Lebesgue integral |
| MSC:
|
26A39 |
| MSC:
|
26A42 |
| idZBL:
|
Zbl 1224.26027 |
| idMR:
|
MR2672405 |
| . |
| Date available:
|
2010-07-20T17:04:16Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140594 |
| . |
| 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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| . |
