A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili
Mathematica Bohemica (2003)
- Volume: 128, Issue: 2, page 113-119
- ISSN: 0862-7959
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Abstract
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topYe, Guoju, and Lee, Peng Yee. "A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili." Mathematica Bohemica 128.2 (2003): 113-119. <http://eudml.org/doc/249222>.
@article{Ye2003,
abstract = {We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of $CD$ filtering.},
author = {Ye, Guoju, Lee, Peng Yee},
journal = {Mathematica Bohemica},
keywords = {approximately continuous integral; Denjoy integral; Chelidze-Djvarsheishvili integral; approximately continuous integral; Denjoy integral; Chelidze-Dzhvarshejshvili integral},
language = {eng},
number = {2},
pages = {113-119},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili},
url = {http://eudml.org/doc/249222},
volume = {128},
year = {2003},
}
TY - JOUR
AU - Ye, Guoju
AU - Lee, Peng Yee
TI - A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili
JO - Mathematica Bohemica
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 128
IS - 2
SP - 113
EP - 119
AB - We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of $CD$ filtering.
LA - eng
KW - approximately continuous integral; Denjoy integral; Chelidze-Djvarsheishvili integral; approximately continuous integral; Denjoy integral; Chelidze-Dzhvarshejshvili integral
UR - http://eudml.org/doc/249222
ER -
References
top- The Theory of the Denjoy Integral and Some of Applications, (The Russian original appeared in Tbilisi, 1978.), World Scientific, Singapore, 1989. (1989) MR1036270
- The Kubota integral, Math. Japonica 36 (1991), 263–270. (1991) MR1095739
- Nonabsolute integration using Vitali covers, New Zealand J. Math. 23 (1994), 25–36. (1994) MR1279123
- Henstock integration in the plane, Memoirs AMS 353 (1986). (1986) Zbl0596.26005MR0856159
- Lanzhou Lectures on Henstock Integration, World Scientific, Singapore, 1989. (1989) Zbl0699.26004MR1050957
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