## Real Analysis Exchange

### On continuous major and minor functions for the n-dimensional Perron integral

#### Abstract

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.

#### Article information

Source
Real Anal. Exchange, Volume 22, Number 1 (1996), 318-327.

Dates
First available in Project Euclid: 1 June 2012

https://projecteuclid.org/euclid.rae/1338515223

Mathematical Reviews number (MathSciNet)
MR1433616

Zentralblatt MATH identifier
0879.26044

#### Citation

Bongiorno, Benedetto; Di Piazza, Luisa; Skvortsov, Valentin. On continuous major and minor functions for the n -dimensional Perron integral. Real Anal. Exchange 22 (1996), no. 1, 318--327. https://projecteuclid.org/euclid.rae/1338515223

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