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

  1. May 9, 2007 #1
    L1-, L2-, Linfty-Norm Proofs - Please Help!!

    1. The problem statement, all variables and given/known data

    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.

    2. Relevant 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!!
  2. jcsd
  3. May 9, 2007 #2


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    Staff Emeritus
    Science Advisor

    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?
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