# 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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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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