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Nov 25, 2021 at 17:18 comment added Iosif Pinelis @RyanChen : This is a standard trick: If you want to show that $\|f\|_\infty\ge c$, it is enough to show that $\|f\|_2\ge c$, provided that the corresponding measure is a probability one.
Nov 25, 2021 at 13:18 comment added RyanChan Thank you for your answer. Is there any ituition or motivation for the above probabilistic method of deriving the upperbound?
Nov 25, 2021 at 7:47 vote accept RyanChan
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Nov 25, 2021 at 4:42 review Low quality posts
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Nov 25, 2021 at 3:28 history answered Iosif Pinelis CC BY-SA 4.0