H�lder's inequality
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See also: Hölder's Inequality
Hölder's Inequality, a generalization of the Cauchy-Schwarz inequality, states that,
For all such that we have:
Letting in this inequality leads to the Cauchy-Schwarz Inequality.
This can also be generalized further to sets of variables with a similar form.
Applications
1. Given we have,
2. Power-mean inequality: For and we have