| Title:
|
Perron-type integration on $n$-dimensional intervals and its properties (English) |
| Author:
|
Jarník, Jiří |
| Author:
|
Kurzweil, Jaroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
79-106 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A39 |
| MSC:
|
26B20 |
| idZBL:
|
Zbl 0832.26009 |
| idMR:
|
MR1314532 |
| DOI:
|
10.21136/CMJ.1995.128500 |
| . |
| Date available:
|
2009-09-24T09:44:45Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128500 |
| . |
| Reference:
|
[1] J. Kurzweil: Generalized ordinary differential equations and continuous dependence on a parameter.Czechosl. Math. J. 7 (1957), 418–449. Zbl 0090.30002, MR 0111875 |
| Reference:
|
[2] J. Kurzweil: Nichtabsolutkonvergente Integrale, Teubner Texte zur Mathematik, 25.Teubner, Leipzig, 1984. |
| Reference:
|
[3] J. Kurzweil, J. Jarník: Equiintegrability and controlled convergence of Perron-type integrable functions.Real. Anal. Exchange 17 (1991–92), 110–139. MR 1147361, 10.2307/44152200 |
| Reference:
|
[4] J. Kurzweil, J. Jarník: Differentiability and integrability in $n$ dimensions with respect to $\alpha $-regular intervals.Results in Mathematik 21 (1992), 138–151. MR 1146639, 10.1007/BF03323075 |
| Reference:
|
[5] J. Kurzweil, J. Jarník: Generalized multidimensional Perron integral involving a new regularity condition.Results in Mathematics 23 (1993), 263–273. MR 1215221, 10.1007/BF03322308 |
| . |
