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Prove the following inequality

  1. May 31, 2010 #1
    1. The problem statement, all variables and given/known data

    prove the following inequality:

    2. Relevant equations

    [tex]\frac{a^4+b^4+c^4}{a^2b^2+a^2c^2+b^2c^2}\geq\frac{2u+3\lambda}{3(u+\lambda)}[/tex]

    for all the reals a,b,c different from zero and for all the natural u,λ

    3. The attempt at a solution

    induction i think in this case will make things worst
     
  2. jcsd
  3. May 31, 2010 #2

    tiny-tim

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    hi evagelos! :smile:

    (try using the X2 tag just above the Reply box :wink:)

    hint: subtract a constant from the lhs :wink:
     
  4. May 31, 2010 #3
    Re: inequality

    Sorry tiny-tim i don't get what you mean .What constant must i subtract from the l.h.s.
     
  5. May 31, 2010 #4

    tiny-tim

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    that's for you to find out! :wink:
     
  6. May 31, 2010 #5
    Re: inequality

    you cannot subtract a constant, only, from the left hand side because then you change the inequality
     
  7. May 31, 2010 #6

    tiny-tim

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    ok, then subtract it from both sides :smile:
     
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