Hölder's inequality
= Hölder's inequality
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For conjugate exponents $p,q\in[1,\infty]$, <Hölder's inequality> states $\lVert fg\rVert_1\leq\lVert f\rVert_p\lVert g\rVert_q$. For finite vectors, the case $p=1$, $q=\infty$ is $|x^Ty|\leq\lVert x\rVert_1\lVert y\rVert_\infty$.