If v(0) = v(1) = 0 where v is differentiable over [0,1](adsbygoogle = window.adsbygoogle || []).push({});

how do I show the ff 2 inequalities?

1) [tex]\int_{0}^{1}|v(x)|^{2}dx \leq \frac{1}{2}\int_{0}^{1}|v'(x)|^{2}dx[/tex]

2) [tex]\int_{0}^{1}|v(x)|^{2}dx \leq \frac{1}{8}\int_{0}^{1}|v'(x)|^{2}dx[/tex]

I tried using the Cauchy Schwartz inequality...and of course I ended up with the 2 being equal (without 1/2 or 1/8, that is) :(

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# Homework Help: Help me show the ff inequality

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