Existence and computation of Riemann-Stieltjes integrals through Riemann integrals

Name: Existence and computation of Riemann-Stieltjes integrals through Riemann integrals
Creator: Pouso, Rodrigo López
Keywords: Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2011Embargo end date: 01 Jan 2011Publisher:arXiv

Authors: Pouso, Rodrigo López;

doi: 10.48550/arxiv.1107.1996

arXiv: http://arxiv.org/abs/1107.1996

Existence and computation of Riemann-Stieltjes integrals through Riemann integrals

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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.

Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

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