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Math Help - Inequality

  1. #1
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    Joined
    Feb 2010
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    15

    Inequality

    Hello,

    I have this inequality I need to prove:
    <br />
(1+\delta)(x-y)-(x^{1+\delta}-y^{1+\delta})+(x-y)^{1+\delta}\geq0, where 0\leq y < x \leq 1 and 0<\delta<1.
    I am not actually sure if it is correct, I just checked it numerically and was unable to find a counterexample.
    Any ideas would be appreciated.
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  2. #2
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    Feb 2010
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    Already got this one.
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