PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: Medium Entry average rating: No information on entry rating
Young inequality (Theorem)

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




"Young inequality" is owned by paolini.
(view preamble | get metadata)

View style:

See Also: Young's inequality


Attachments:
proof of Young Inequality (Proof) by paolini
generalization of Young inequality (Result) by Andrea Ambrosio
Log in to rate this entry.
(view current ratings)

There are 2 references to this entry.

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 12339 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)

Pending Errata and Addenda
None.
[ View all 3 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | prove | add result | add corollary | add example | add (any)