ON CONTINUOUS MAJOR AND MINOR FUNCTIONS FOR THE n-DIMENSIONAL PERRON INTEGRAL
Bongiorno, Luisa Di Piazza, Skvortsov · Real Analysis Exchange · 1996
We prove that the \(n\)-dimensional Perron integral with respect to the full interval basis, without any regularity condition, defined by continuous major and minor functions is equivalent to the one defined by major and minor functions which are not supposed to be continuous.