Exercise 1, § 1

Integration, V

Show that if $f$ and $g$ are two numerical functions $\geqslant 0$ , then

\mu^\bullet(\sup(f,g)) + \mu^\bullet(\inf(f,g)) \leqslant \mu^\bullet(f) + \mu^\bullet(g)

(cf. Ch. IV, §1, Exer. 1).

Solution

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