| Title:
|
Convergence theorems for the PU-integral (English) |
| Author:
|
Riccobono, Giuseppa |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
77-86 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a definition of uniform PU-integrability for a sequence of $\mu$-measurable real functions defined on an abstract metric space and prove that it is not equivalent to the uniform $\mu$-integrability. (English) |
| Keyword:
|
PU-integral |
| Keyword:
|
PU-uniform integrability |
| Keyword:
|
$\mu$-uniform integrability |
| MSC:
|
05C10 |
| MSC:
|
05C75 |
| MSC:
|
26A39 |
| MSC:
|
28A20 |
| idZBL:
|
Zbl 0969.26008 |
| idMR:
|
MR1752080 |
| DOI:
|
10.21136/MB.2000.126264 |
| . |
| Date available:
|
2009-09-24T21:40:24Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126264 |
| . |
| Reference:
|
[1] A. M. Bruckner: Differentiation of integrals.Supplement to the Amer. Math. Monthly 78 (1971), no. 9, 1-51. Zbl 0225.28002, MR 0293044 |
| Reference:
|
[2] R. A. Gordon: Another look at a convergence theorem for the Henstock integral.Real Anal. Exchange 15 (1989/90), 724-728. MR 1059433 |
| Reference:
|
[3] R. A. Gordon: Riemann tails and the Lebesgue and the Henstock integrals.Real Anal. Exchange 17 (1991/92), 789-795. MR 1171422 |
| Reference:
|
[4] G. Riccobono: A PU-integral on an abstract metric space.Math. Bohem. 122 (1997), 83-95. Zbl 0891.28003, MR 1446402 |
| . |
