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arXiv · 1107.1996

Existence and computation of Riemann-Stieltjes integrals through Riemann integrals

Rodrigo López Pouso
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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.

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Rodrigo López Pouso. 2011-07-11. Existence and computation of Riemann-Stieltjes integrals through Riemann integrals. https://arxiv.org/abs/1107.1996

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