Comparison between Riemann-Stieltjes and Lebesgue-Stieltjes integration using discrete distribution functions

Autor:	Niang, Aladji Babacar, Lo, Gane Samb, Traoré, Cherif Mamadou Moctar
Rok vydání:	2020
Předmět:	Mathematics - Functional Analysis 97D40 28Axx 28A1
Druh dokumentu:	Working Paper
Popis:	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. Comment: 10
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.07481 Zobrazit plný text záznamu View this record from Arxiv