Integral Riemann-Stieltjes dan Kaitannya dengan Integral Lebesgue-Stieltjes

This article we construct the definition of the Riemann- Stieltjes integral and the Lebesgue-Stieltjes integral. The definition of the Riemann-Stieltjes integral proposed here can be used for integration over arbitrary elementary sets, ie, finite unions of bounded interval. It is stated in terms of a "premeasure". The purpose of this article is to give characterizations of the class of Riemann-Stieltjes integrable functions as a subset of the class of Lebesgue-Stieltjes integrable functions.