| Title:
|
A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili (English) |
| Author:
|
Ye, Guoju |
| Author:
|
Lee, Peng-Yee |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
128 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
113-119 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of $CD$ filtering. (English) |
| Keyword:
|
approximately continuous integral |
| Keyword:
|
Denjoy integral |
| Keyword:
|
Chelidze-Djvarsheishvili integral |
| MSC:
|
26A39 |
| MSC:
|
26B15 |
| idZBL:
|
Zbl 1027.26012 |
| idMR:
|
MR1995566 |
| DOI:
|
10.21136/MB.2003.134034 |
| . |
| Date available:
|
2009-09-24T22:07:39Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134034 |
| . |
| Reference:
|
[1] V. G. Chelidze, A. G. Djvarsheishvili: The Theory of the Denjoy Integral and Some of Applications.(The Russian original appeared in Tbilisi, 1978.), World Scientific, Singapore, 1989. MR 1036270 |
| Reference:
|
[2] S. Bambang, Lee Peng-Yee: The Kubota integral.Math. Japonica 36 (1991), 263–270. MR 1095739 |
| Reference:
|
[3] Chew Tuan-Seng, Lee Peng-Yee: Nonabsolute integration using Vitali covers.New Zealand J. Math. 23 (1994), 25–36. MR 1279123 |
| Reference:
|
[4] K. M. Ostaszewski: Henstock integration in the plane.Memoirs AMS 353 (1986). Zbl 0596.26005, MR 0856159 |
| Reference:
|
[5] Lee Peng-Yee: Lanzhou Lectures on Henstock Integration.World Scientific, Singapore, 1989. Zbl 0699.26004, MR 1050957 |
| . |
