\v Stefan Schwabik
Convergence theorems for the Perron integral and Sklyarenko's condition

Abstract: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.

Keywords: Kurzweil--Henstock integral, Perron integral
AMS Subject Classification: 26A39

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