| Title:
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On a generalization of Henstock-Kurzweil integrals (English) |
| Author:
|
Malý, Jan |
| Author:
|
Kuncová, Kristýna |
| Language:
|
English |
| Journal:
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Mathematica Bohemica |
| ISSN:
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0862-7959 (print) |
| ISSN:
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2464-7136 (online) |
| Volume:
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144 |
| Issue:
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4 |
| Year:
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2019 |
| Pages:
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393-422 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study a scale of integrals on the real line motivated by the $MC_{\alpha }$ integral by Ball and Preiss and some recent multidimensional constructions of integral. These integrals are non-absolutely convergent and contain the Henstock-Kurzweil integral. Most of the results are of comparison nature. Further, we show that our indefinite integrals are a.e. approximately differentiable. An example of approximate discontinuity of an indefinite integral is also presented. (English) |
| Keyword:
|
Henstock-Kurzweil integral |
| MSC:
|
26A39 |
| idZBL:
|
07217262 |
| idMR:
|
MR4047344 |
| DOI:
|
10.21136/MB.2019.0038-19 |
| . |
| Date available:
|
2019-12-09T11:53:31Z |
| Last updated:
|
2020-08-14 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147935 |
| . |
| Reference:
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