Title of article :
On the Riemann-Stieltjes Integral
Author/Authors :
Parsian, Ali Department of Mathematics - Tafresh University - Tafresh, I. R. Iran
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
