Existence and computation of Riemann-Stieltjes integrals through Riemann integrals
Classical Analysis and ODEs
2011-07-12 v1
Abstract
We study the existence of Riemann-Stieltjes integrals of bounded functions against a given integrator. We are also concerned with the possibility of computing the resulting integrals by means of related Riemann integrals. In particular, we present a new generalization to the well-known formula for continuous integrands and continuously differentiable integrators.
Keywords
Cite
@article{arxiv.1107.1996,
title = {Existence and computation of Riemann-Stieltjes integrals through Riemann integrals},
author = {Rodrigo López Pouso},
journal= {arXiv preprint arXiv:1107.1996},
year = {2011}
}