- #1
kidsmoker
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Homework Statement
Let
[tex]\phi,\psi : [a,b] \rightarrow \Re [/tex]
be step functions.
Prove that
[tex](\int \phi\psi)^{2} \leq (\int\phi^{2})(\int\psi^{2}) .[/tex]
Hint: Consider the quadratic function of a real variable t defined by
[tex]Q(t)=\int(t\phi+\psi)^2 .[/tex]
The Attempt at a Solution
I really don't know where to start with this, and the hint only confuses me more! :p
Any help appreciated, thanks!
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