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Young's inequality |
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Young's inequality [′yəŋz ‚in·ə′kwäl·əd·ē] (mathematics) An inequality that applies to a functiony=f(x) that is continuous and strictly increasing forx≥ 0 and satisfiesf(0) = 0, with inverse functionx=g(y); it states that, for any positive numbersaandbin the ranges ofxandy, respectively, the productabis equal to or less than the sum of the integral from 0 toaoff(x)dxand the integral from 0 tobofg(y)dy. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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