Existence and computation of Riemann-Stieltjes integrals through Riemann integrals

Details Existence and computation of Riemann-Stieltjes integrals through Riemann integrals Existence and computation of Riemann-Stieltjes integrals through Riemann integrals

2011-07-11

arxiv.org/abs/1107.1996v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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