| Title:
|
Equivalent definitions of regular generalized Perron integral (English) |
| Author:
|
Kurzweil, Jaroslav |
| Author:
|
Jarník, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
42 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
365-378 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A39 |
| MSC:
|
26B15 |
| MSC:
|
26B20 |
| idZBL:
|
Zbl 0782.26004 |
| idMR:
|
MR1179506 |
| DOI:
|
10.21136/CMJ.1992.128325 |
| . |
| Date available:
|
2009-09-24T09:22:05Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128325 |
| . |
| Reference:
|
[1] Chew T.S.: On the equivalence of Henstock-Kurzweil and restricted Denjoy integrals in $R^n$.Real Analysis Exchange 15 (1989–90), 259–268. MR 1042541 |
| Reference:
|
[2] Jarník J., Kurzweil J., Schwabik Š.: On Mawhin’s approach to multiple nonabsolutely convergent integral.Časopis pěst. mat. 108 (1983), 356–380. MR 0727536 |
| Reference:
|
[3] Kurzweil J., Jarník J.: Equiintegrability and controlled convergence of Perron-type integrable functions.Real Analysis Exchange 17 (1991–92), 110–139. MR 1147361, 10.2307/44152200 |
| Reference:
|
[4] Kurzweil J., Jarník J.: Differentiability and integrability in $n$ dimensions with respect to $\alpha $-regular intervals.Resultate der Mathematik 21 (1992), 138–151. MR 1146639 |
| Reference:
|
[5] Mawhin J.: Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields.Czechoslovak Math. J. 31(106) (1981), 614–632. Zbl 0562.26004, MR 0631606 |
| Reference:
|
[6] Pfeffer W. F.: A Riemann type integration and the fundamental theorem of calculus.Rendiconti Circ. Mat. Palermo, Ser. II 36 (1987), 482–506. Zbl 0669.26007, MR 0981151 |
| . |
