a. The "Riemann-Stieltjes" integral of a given function g with respect to a given function F as "Stieltjes distribution function," on an interval [a, b], is defined as follows: For any partition P: a=x00 there is a δsuch that i |s(P, t)-s|< whenever max|xi-xi-1|<δ, then the RiemannStieltjes integral ^b g(x) d F(x) is said to exist and have the value s. Show that if g is continuous and if F is monotone, then ∫g(x) d F(x) exists. b. A function F is said to be of "bounded variation" on the interval
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