Hölder's Inequality for Sums/Finite

Hölder's Inequality for Sums: Finite Form
Hölder's Inequality for Sums can also be seen presented in the less general form:
 * $\ds \sum \limits_{k \mathop = 1}^n \size {x_k y_k} \le \paren {\sum_{k \mathop = 1}^n \size {x_k}^p}^{1 / p} \paren {\sum_{k \mathop = 1}^n \size {y_k}^q}^{1 / q}$

where the summations are finite.