Existence and computation of Riemann-Stieltjes integrals through Riemann integrals

2011/07/11 by Rodrigo López Pouso, Pouso, Rodrigo López
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Numerical methods for differential equations #math.CA

paper · pdf · doi:10.48550/arxiv.1107.1996

arxiv created 2011/07/11 · openalex publication_date 2011/07/11 · arxiv updated 2011/07/12 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28

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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