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Young inequality (Theorem)

Let $ a,b>0$ and $ p,q\in \left]0,\infty\right[$ with $ 1/p+1/q=1$. Then

$\displaystyle ab \le \frac{a^p}p + \frac{b^q}q. $



"Young inequality" is owned by paolini.
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See Also: Young's inequality


Attachments:
proof of Young Inequality (Proof) by paolini
generalization of Young inequality (Result) by Andrea Ambrosio
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This is version 3 of Young inequality, born on 2003-03-07, modified 2006-11-24.
Object id is 4078, canonical name is YoungInequality.
Accessed 9443 times total.

Classification:
AMS MSC46E30 (Functional analysis :: Linear function spaces and their duals :: Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant)

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