L1-, L2-, Linfty-Norm Proofs -

[DeadxBunny]

L1-, L2-, Linfty-Norm Proofs - Please Help!

Homework Statement

Show that ||x||1 < or = n||x||infinity and ||x||2 < or = sqrt(n)*||x||infinity for x exists in the set of all real numbers.

Homework Equations

||x||2 is defined here: http://mathworld.wolfram.com/L2-Norm.html
||x||1 is defined here: http://mathworld.wolfram.com/L1-Norm.html
||x||infinity is defined here: http://mathworld.wolfram.com/L1-Norm.html

Sorry about posting links, but I have no idea how to get all the symbols (like the summation symbol) to show up on the forums!

Thanks in advance for your help!

 

[HallsofIvy]

Okay, what have you done? You can't just expect people to do your homework for you! I would also point out that "x exists in the set of all real numbers" makes little sense here. Do you mean that x is in Rⁿ?