Assume that (left(u_{n}ight)_{n in mathbb{N}}) is uniformly integrable. Show that [lim _{k ightarrow infty} frac{1}{k} int max

Question:

Assume that \(\left(u_{n}ight)_{n \in \mathbb{N}}\) is uniformly integrable. Show that

\[\lim _{k ightarrow \infty} \frac{1}{k} \int \max _{n \leqslant k} u_{n} d \mu=0\]

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: