diff --git a/semester3/numcs/parts/02_quadrature/01_equidistant-nodes/00_intro.tex b/semester3/numcs/parts/02_quadrature/01_equidistant-nodes/00_intro.tex index 1968e1f..75b7cb9 100644 --- a/semester3/numcs/parts/02_quadrature/01_equidistant-nodes/00_intro.tex +++ b/semester3/numcs/parts/02_quadrature/01_equidistant-nodes/00_intro.tex @@ -27,5 +27,5 @@ Gewichte: $\frac{b - a}{6}, \frac{4(b - a)}{6}, \frac{b - a}{6}$ \inlineremark Die Schranken für den Fehler erhält man aus den Lagrange-Polynomen vom Grad $n - 1$: \rmvspace \begin{align*} - f \in \C^n([a, b]) \Rightarrow \left| f(t) \dx t - Q_n(f) \right| \leq \frac{1}{n!} (b - a)^{n + 1} ||f^{(n)}||_{L^\infty([a, b])} + f \in C^n([a, b]) \Rightarrow \left| f(t) \dx t - Q_n(f) \right| \leq \frac{1}{n!} (b - a)^{n + 1} ||f^{(n)}||_{L^\infty([a, b])} \end{align*}