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.

||x||2 is defined here: L2-Norm -- from Wolfram MathWorld
||x||1 is defined here: L1-Norm -- from Wolfram MathWorld
||x||infinity is defined here: L1-Norm -- from Wolfram MathWorld

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.

2. Originally Posted by theamazingjenny
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.

||x||2 is defined here: L2-Norm -- from Wolfram MathWorld
||x||1 is defined here: L1-Norm -- from Wolfram MathWorld
||x||infinity is defined here: L1-Norm -- from Wolfram MathWorld

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.