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Wirtinger's inequality - Revision history
2026-04-12T16:22:25Z
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Vipul: 1 revision
2008-05-18T20:13:32Z
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Vipul
https://diffgeom.subwiki.org/w/index.php?title=Wirtinger%27s_inequality&diff=1657&oldid=prev
Vipul at 09:51, 7 September 2007
2007-09-07T09:51:03Z
<p></p>
<p><b>New page</b></p><div>==Statement==<br />
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Let <math>F:[0,\pi] \to \R</math> be a smooth function such that <math>F(0) = F(\pi) = 0</math>. Then: <br />
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<math>\int_0^\pi \left(\frac{dF}{dt}\right)^2 dt \ge \int_0^\pi F(t)^2 dt</math><br />
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==Applications==<br />
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* [[Isoperimetric inequality]] can be proved using Wirtinger's inequality</div>
Vipul