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

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

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

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Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

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Question Posted: Jan 25, 2024 01:06 AM

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

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Measures Integrals And Martingales

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