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Existence and computation of Riemann-Stieltjes integrals through Riemann integrals (1107.1996v1)
Published 11 Jul 2011 in math.CA
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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