Some Properties of a Lebesgue-Stieltjes Integral
Lura Cecil Dean · University of North Texas Digital Library (University of North Texas) · 1951
It is the purpose of this paper to define a Lebesgue integral over a measurable set, the integration being performed with respect to a monotone non-decreasing function as in the Stieltjes integral, and to develop a few of the fundamental properties of such an integral.