Geodesic
A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili
Mathematica Bohemica, Tome 128 (2003) no. 2, pp. 113-119

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We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of $CD$ filtering.
We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of $CD$ filtering.
DOI : 10.21136/MB.2003.134034
Classification : 26A39, 26B15
Keywords: approximately continuous integral; Denjoy integral; Chelidze-Djvarsheishvili integral 
Ye, Guoju; Lee, Peng-Yee. A Riemann-type definition for the double Denjoy integral of Chelidze and Djvarsheishvili. Mathematica Bohemica, Tome 128 (2003) no. 2, pp. 113-119. doi: 10.21136/MB.2003.134034
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[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

[2] S. Bambang, Lee Peng-Yee: The Kubota integral. Math. Japonica 36 (1991), 263–270. | MR

[3] Chew Tuan-Seng, Lee Peng-Yee: Nonabsolute integration using Vitali covers. New Zealand J. Math. 23 (1994), 25–36. | MR

[4] K. M. Ostaszewski: Henstock integration in the plane. Memoirs AMS 353 (1986). | MR | Zbl

[5] Lee Peng-Yee: Lanzhou Lectures on Henstock Integration. World Scientific, Singapore, 1989. | MR | Zbl

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