Suppose $f:[0,L]\rightarrow \mathbb{R}_+$ is smooth and $L>1$. Does there exist a bound $$\|f\|_{\infty}\le c\|f\|_{1}$$ where $c=c(f,L)$ may depend on $f$ and $L$? I am having a difficult time proving or disproving. Thanks for any suggestions.
2026-04-04 09:32:54.1775295174
Infinity Norm Bound
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