Geodesic
General integration and extensions.II
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 983-1005.

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This work is a continuation of the paper (Š. Schwabik: General integration and extensions I, Czechoslovak Math.\ J. 60 (2010), 961--981). Two new general extensions are introduced and studied in the class $\frak T$ of general integrals. The new extensions lead to approximate description of the Kurzweil-Henstock integral based on the Lebesgue integral close to the results of S. Nakanishi presented in the paper (S. Nakanishi: A new definition of the Denjoy's special integral by the method of successive approximation, Math.\ Jap. 41 (1995), 217--230).
Classification : 26A39, 26A42
Keywords: abstract integration; extension of integral; Kurzweil-Henstock integration 
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Schwabik, Štefan. General integration and extensions.II. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 983-1005. http://geodesic.mathdoc.fr/item/CMJ_2010__60_4_a7/