%0 Journal Article %@ 1410-8070 %A Arnellis, Arnellis %A Helma, Helma %A FMIPA UNP, %A FMIPA UNP, %D 2003 %F repounp:38837 %I Lembaga Penelitian, Universitas Negeri Padang %J SAINSTEK: Jurnal Ilmiah Ilmu Pengetahuan dan Teknologi %K Riemann-Stieltjes integral, Lebesgue-Stieltjes integral, Premeasure, Integrability. %N 1 %P 1-13 %T Integral Riemann-Stieltjes dan Kaitannya dengan Integral Lebesgue-Stieltjes %U https://repository.unp.ac.id/id/eprint/38837/ %V 6 %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.