integrability

Aug 2010
13
0
let f and g be integrable functions on [a,b]. Show that

\(\displaystyle |\int_{a}^{b} fg| \leq {{({\int_{a}^{b}} f^{2})}^{1/2}{{({\int_{a}^{b}} g^{2})}^{1/2}\)
 

TheEmptySet

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Feb 2008
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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.
 
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HallsofIvy

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Apr 2005
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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.