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Keywords:
approximately continuous integral; Denjoy integral; Chelidze-Djvarsheishvili integral
approximately continuous integral; Denjoy integral; Chelidze-Djvarsheishvili integral
Summary:
We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of $CD$ filtering.
References:
[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
[2] S. Bambang, Lee Peng-Yee: The Kubota integral. Math. Japonica 36 (1991), 263–270. MR 1095739
[3] Chew Tuan-Seng, Lee Peng-Yee: Nonabsolute integration using Vitali covers. New Zealand J. Math. 23 (1994), 25–36. MR 1279123
[4] K. M. Ostaszewski: Henstock integration in the plane. Memoirs AMS 353 (1986). MR 0856159 | Zbl 0596.26005
[5] Lee Peng-Yee: Lanzhou Lectures on Henstock Integration. World Scientific, Singapore, 1989. MR 1050957 | Zbl 0699.26004
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