On a problem of Faure and Guenard
Real Analysis Exchange 24 (1998/9), No. 2, 885-888.
Mathematical reviews subject classification: 26A39.
Abstract
In Upper and lower approximation of Perron integrable functions (Real Analysis Exchange 22 (1996/7), no. 2, 626-637), Faure and Guenard put the following problem:
Characterize the Denjoy*-integrable functions f:[a,b] → R that can be approximated by two Baire1 functions gε and hε , ε > 0, that are Denjoy*-integrable.
In the present article we show that this class of functions coincides with the class of all Denjoy*-integrable functions f:[a,b] → R.
