| Title:
|
Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series (English) |
| Author:
|
Lee, Tuo-Yeong |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
63 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
1-38 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish two new norm convergence theorems for Henstock-Kurzweil integrals. In particular, we provide a unified approach for extending several results of R. P. Boas and P. Heywood from one-dimensional to multidimensional trigonometric series. (English) |
| Keyword:
|
Henstock-Kurzweil integral |
| Keyword:
|
regularly convergent multiple series |
| MSC:
|
26A39 |
| MSC:
|
42A32 |
| MSC:
|
42B05 |
| idZBL:
|
Zbl 1274.42016 |
| idMR:
|
MR3035494 |
| DOI:
|
10.1007/s10587-013-0001-9 |
| . |
| Date available:
|
2013-03-01T15:59:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143165 |
| . |
| Reference:
|
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| Reference:
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