id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5165	Omayan, Develin; Flores, Greig Bates	On the McShane-Dunford-Stieltjes Integral and McShane-Pettis-Stieltjes Integral	2024	14	.pdf	application/pdf	5570	368	85	(Additivity of the MDS-integral) Let f : [a, b] → X, g : [a, b] → R and I,J ∈ A function f is said to be McShane-Stieltjes integrable, or simply MS-integrable, with respect to g on [a, b] if there exists J ∈ X with the following property: for each ε > 0 there is a gauge δ such that for every δ-fine M-partition P = {(t, [u,v])} of [a, b] the inequality∥∥∥∥∥∥ ∑ (t,[u,v])∈P f(t)∆g([u,v])− J ∥∥∥∥∥∥ X < ε D. Omayan, G.B. Flores / Eur.	cache/ejpam-5165.pdf	txt/ejpam-5165.txt