ana7 done, fixed all bad breaks and overfull boxes

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2020-05-14 21:23:16 +02:00
parent d4559fec69
commit 52281b1525
12 changed files with 206 additions and 25 deletions
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@@ -85,11 +85,11 @@ Wichtige Ungleichungen
\begin{lemma}[Ungleichung von Hölder]
Seien $p,q \in \R, p>1, \ q<\infty, \ \frac{1}{p} + \frac{1}{q} = 1$. Dann gilt
$$\underbrace{|(x,y)_2|}_{%
\footnotesize\begin{tabular}{c}euklidisches\\Skalarprodukt\end{tabular}}
\text{\footnotesize\begin{tabular}{c}euklidisches\\Skalarprodukt\end{tabular}}}
\leq \underbrace{\norm{x}_p}_{%
\footnotesize\begin{tabular}{c}$\ell_p$-Norm\\ von $x$\end{tabular}}
\text{\footnotesize\begin{tabular}{c}$\ell_p$-Norm\\ von $x$\end{tabular}}}
\cdot \underbrace{\norm{y}_q}_{%
\footnotesize\begin{tabular}{c}$\ell_q$-Norm\\ von $y$\end{tabular}} $$
\text{\footnotesize\begin{tabular}{c}$\ell_q$-Norm\\ von $y$\end{tabular}}}$$
\end{lemma}
\begin{proof}