| Title:
|
On totalization of the Kurzweil-Henstock integral in the multidimensional space (English) |
| Author:
|
Sarić, Branko |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
1017-1022 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper a full totalization is presented of the Kurzweil-Henstock integral in the multidimensional space. A residual function of the total Kurzweil-Henstock primitive is defined. (English) |
| Keyword:
|
totalization |
| Keyword:
|
Kurzweil-Henstock integral |
| Keyword:
|
primitive |
| MSC:
|
26A39 |
| MSC:
|
26B20 |
| idZBL:
|
Zbl 1249.26011 |
| idMR:
|
MR2886253 |
| DOI:
|
10.1007/s10587-011-0044-8 |
| . |
| Date available:
|
2011-12-16T15:43:25Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141803 |
| . |
| Reference:
|
[1] Bartle, R. G.: A Modern Theory of Integration.Graduate Studies in Math., Vol. 32, American Mathematical Society (AMS), Providence (2001). Zbl 0968.26001, MR 1817647, 10.1090/gsm/032/07 |
| Reference:
|
[2] Cabral, E., Lee, P.-Y.: A fundamental theorem of calculus for the Kurzweil-Henstock integral in $\mathbb{R}^{m}$.Real Anal. Exch. 26 (2001), 867-876. MR 1844400, 10.2307/44154084 |
| Reference:
|
[3] Cabral, E., Lee, P.-Y.: The primitive of a Kurzweil-Henstock integrable function in multidimensional space.Real Anal. Exch. 27 (2002), 627-634. Zbl 1069.26013, MR 1922673, 10.14321/realanalexch.27.2.0627 |
| Reference:
|
[4] Gordon, R. A.: The Integrals of Lebesgue, Denjoy, Perron and Henstock.Graduate Studies in Mathematics, Vol. 4, American Mathematical Society (AMS), Providence (1994). Zbl 0807.26004, MR 1288751, 10.1090/gsm/004/09 |
| . |
