@article{repounp38837, title = {Integral Riemann-Stieltjes dan Kaitannya dengan Integral Lebesgue-Stieltjes}, journal = {SAINSTEK: Jurnal Ilmiah Ilmu Pengetahuan dan Teknologi}, year = {2003}, publisher = {Lembaga Penelitian, Universitas Negeri Padang}, month = {September}, pages = {1--13}, volume = {6}, number = {1}, keywords = {Riemann-Stieltjes integral, Lebesgue-Stieltjes integral, Premeasure, Integrability.}, url = {https://repository.unp.ac.id/id/eprint/38837/}, author = {Arnellis, Arnellis and Helma, Helma}, issn = {1410-8070}, abstract = {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.} }