Geodesic
Convergence theorems for the Perron integral and Sklyarenko's condition
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 237-244

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It is shown that a uniform version of Sklyarenko's integrability condition for Perron integrals together with pointwise convergence of a sequence of integrable functions are sufficient for a convergence theorem for Perron integrals.
Classification : 26A39
Keywords: Kurzweil-Henstock integral; Perron integral 
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     title = {Convergence theorems for the {Perron} integral and {Sklyarenko's} condition},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Schwabik, Štefan. Convergence theorems for the Perron integral and Sklyarenko's condition. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 237-244. http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a3/