%X 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.
%D 2003
%K Riemann-Stieltjes integral, Lebesgue-Stieltjes integral, Premeasure, Integrability.
%L repounp38837
%P 1-13
%A Arnellis Arnellis
%A Helma Helma
%T Integral Riemann-Stieltjes dan Kaitannya dengan Integral Lebesgue-Stieltjes
%V 6
%J SAINSTEK: Jurnal Ilmiah Ilmu Pengetahuan dan Teknologi
%I Lembaga Penelitian, Universitas Negeri Padang
%N 1