## Real Analysis Exchange

### The fundamental theorem of calculus for $\text{GR}_k$-type integrals.

#### Abstract

The $GR_k$ integral, a Stieltjes type integral, was introduced by the authors. In this paper we introduce a $GR_k$-type integral that admits the fundamental theorem of calculus. Also, a convergence theorem is proved using equi-integrability conditions.

#### Article information

Source
Real Anal. Exchange, Volume 28, Number 2 (2002), 549-563.

Dates
First available in Project Euclid: 20 July 2007

Pal, Supriya; Ganguly, D. K.; Yee, Lee Peng. The fundamental theorem of calculus for $\text{GR}_k$-type integrals. Real Anal. Exchange 28 (2002), no. 2, 549--563. https://projecteuclid.org/euclid.rae/1184963816