0.1 Cauchy-Schwartz Inequality
The Cauchy-Schwartz inequality is derived directly from Hölder's Inequality with values \(Y=1\) and \(p=2\) and specifically states \[\mathbb{E}|X|\leq (\mathbb{E}|X|^2)^{1/2}.\]
John Robin Inston
September 25, 2026
The Cauchy-Schwartz inequality is derived directly from Hölder's Inequality with values \(Y=1\) and \(p=2\) and specifically states \[\mathbb{E}|X|\leq (\mathbb{E}|X|^2)^{1/2}.\]