Definition10.2\(p\)-norms.
For any \(p \lt 1\text{,}\) define
\begin{equation*} \|x\|_p = \big( \sum_{i=1}^m|x_i|^p\big)^{1/p}. \end{equation*}For any \(p \lt 1\text{,}\) define
\begin{equation*} \|x\|_p = \big( \sum_{i=1}^m|x_i|^p\big)^{1/p}. \end{equation*}