A Comparative study between Riemann-Stieltjes and Lebesgue-Stieltjes Integration using Discrete Distribution Functions

Lo, Gane Samb and Niang, Aladji Babacar and Traore, Cherif Mamadou Moctar (2020) A Comparative study between Riemann-Stieltjes and Lebesgue-Stieltjes Integration using Discrete Distribution Functions. In: Theory and Practice of Mathematics and Computer Science Vol. 1. B P International, pp. 108-116. ISBN 978-93-90149-22-3

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Abstract

Integrating with respect to functions which are constant on intervals whose bounds are discontinuity
points (of those functions) is frequent in many branches of Mathematics, specially in stochastic
processes. For such functions and alike extension, a comparison between Riemann-Stieltjes and
Lebesgue-Stieltjes integration and the integrals formulas leads to interesting facts for students (as
complements of Measure Theory and Integrations) and for practitioners and and researchers. We
undergone conditions of existence the Riemann-Stieltjes integrals related to that type of function
and compare the results with what should be expected for Lebesgue-Stieltjes theory.

Item Type: Book Section
Subjects: Euro Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 16 Nov 2023 04:40
Last Modified: 16 Nov 2023 04:40
URI: http://publish7promo.com/id/eprint/3763

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