# integrability

#### rondo09

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

MHF Hall of Honor
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.

Vlasev

#### HallsofIvy

MHF Helper
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.