## Real Analysis Exchange

### The generalized Riemann-Stieltjes integral

Washek F. Pfeffer

#### Abstract

We define a generalized Riemann-Stieltjes integral with respect to charges (i.e., additive continuous functions on bounded $BV$ sets), and study the linear space of all functions that are integrable with respect to every charge.

#### Article information

Source
Real Anal. Exchange, Volume 21, Number 2 (1995), 521-547.

Dates
First available in Project Euclid: 14 June 2012

Permanent link to this document
https://projecteuclid.org/euclid.rae/1339694082

Mathematical Reviews number (MathSciNet)
MR1407266

Zentralblatt MATH identifier
0879.26043

#### Citation

Pfeffer, Washek F. The generalized Riemann-Stieltjes integral. Real Anal. Exchange 21 (1995), no. 2, 521--547. https://projecteuclid.org/euclid.rae/1339694082