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datawhalechina · Sep 25, 2024 · 15527bf · 15527bf
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diff --git a/docs/chapter1.md b/docs/chapter1.md
@@ -1178,8 +1178,7 @@ $$
 \begin{align*}
 \mathbb{E}[|X+Y|^p] &\leq \mathbb{E}[(|X|+|Y|)|X+Y|^{p-1}] \\
 &= \mathbb{E}[|X\|X+Y|^{p-1}] + \mathbb{E}[|Y\|X+Y|^{p-1}] \\
-&\leq (\mathbb{E}[|X|^p])^{\frac{1}{p}} (\mathbb{E}[|X+Y|^{(p-1)q}])^{\frac{1}{q}} \\
-&\quad + (\mathbb{E}[|Y|^p])^{\frac{1}{p}} (\mathbb{E}[|X+Y|^{(p-1)q}])^{\frac{1}{q}} \\
+&\leq (\mathbb{E}[|X|^p])^{\frac{1}{p}} (\mathbb{E}[|X+Y|^{(p-1)q}])^{\frac{1}{q}} + (\mathbb{E}[|Y|^p])^{\frac{1}{p}} (\mathbb{E}[|X+Y|^{(p-1)q}])^{\frac{1}{q}} \\
 &= [(\mathbb{E}[|X|^p])^{\frac{1}{p}} + (\mathbb{E}[|Y|^p])^{\frac{1}{p}}] \cdot \frac{\mathbb{E}[|X+Y|^p]}{(\mathbb{E}[|X+Y|^p])^{\frac{1}{p}}}
 \end{align*}
 \end{equation}