Clarkson inequality

The Clarkson inequality says that for all f,gLp, for 2p< we have:


The inequalityMathworldPlanetmath can be used to prove that Lp space is uniformly convex for 2p<.

Remark. If 1<p<2, then the Clarkson inequality becomes:



for functions f,gLp, where q=pp-1.

Title Clarkson inequality
Canonical name ClarksonInequality
Date of creation 2013-03-22 16:04:59
Last modified on 2013-03-22 16:04:59
Owner georgiosl (7242)
Last modified by georgiosl (7242)
Numerical id 13
Author georgiosl (7242)
Entry type Theorem
Classification msc 28A25