@article {
author = {Parsian, Ali},
title = {On the Riemann-Stieltjes Integral},
journal = {Mathematics Interdisciplinary Research},
volume = {7},
number = {2},
pages = {131-138},
year = {2022},
publisher = {University of Kashan},
issn = {2538-3639},
eissn = {2476-4965},
doi = {10.22052/mir.2022.243334.1322},
abstract = {This study contributes to the theory of Riemann-Stieltjes integral. We prove that if all continuous piecewise linear functions are Riemann-Stieltjes integrable with respect to a bounded integrator α : [a,b] → R, then α must be of bounded variation on [a,b]. We also provide some other consequences.},
keywords = {Cantor’s intersection theorem,Function of bounded variation,Riemann-Stieltjes integral},
url = {https://mir.kashanu.ac.ir/article_111967.html},
eprint = {https://mir.kashanu.ac.ir/article_111967_38e1e40e7615202c24ada1b09fba3a91.pdf}
}