# integrability

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• Aug 1st 2010, 01:44 PM
rondo09
integrability
let f and g be integrable functions on [a,b]. Show that

$|\int_{a}^{b} fg| \leq {{({\int_{a}^{b}} f^{2})}^{1/2}{{({\int_{a}^{b}} g^{2})}^{1/2}$
• Aug 1st 2010, 03:37 PM
TheEmptySet
This is the Cauchy-Schwars inequality or a special case of Holders inequality when p=q=2. Try a Google search for either of these topics.
• Aug 2nd 2010, 01:27 AM
HallsofIvy
rondo09, Did you notice the "edit" button at the bottom of your posts? If you mistype a post, edit it rather than starting a new thread.