Abstract
Our Theorem 4.1 provides a new and direct proof of the measurability of Perron integrable functions, and hence of Kurzweil-Henstock integrable functions since both integrals coincide (cf. Theorem 11.5 and Theorem 11.6 in \cite{Go}, or the original paper of Kurzweil \cite{K}\h).
Citation
Claude-Alain Faure. François Guénard. "Upper and lower approximations of Perron integrable functions." Real Anal. Exchange 22 (2) 626 - 637, 1996/1997.
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