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

Comment.Math.Univ.Carolinae 33,2 (1992) 237-244.

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