Una introducción a la Integral de Riemann Stieltjes

Abstract

In the present work we will define and give an introduction to the Theorem of Integral of Stieljes. To do this I will review some concepts of Mathematical Analysis Such as the integral, monotonous, bounded-variation functions, and some Properties that will allow us to approach and interpret what is desired. The Stieltjes integral theorem is more commonly known as "integration by parts", integration by parts is often used to transform an integral of another integrable form to a more susceptible form To the known integration techniques, in this monograph we will focus on the characteristics of the Stieltjes integral theorem.