Title of article
On the Riemann-Stieltjes Integral
Author/Authors
Parsian, Ali Department of Mathematics - Tafresh University - Tafresh, I. R. Iran
Pages
8
From page
131
To page
138
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
Journal title
Mathematics Interdisciplinary Research
Serial Year
2022
Record number
2732551
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