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Math Help - Tight Inequalities

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    Forum Admin topsquark's Avatar
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    Tight Inequalities

    I presume that the level of this topic is at the algebra level.

    In Problem of the Week #28 there is a mention of a "tight" inequality. Can anyone give me a definition of what this is? (My web search gave me a bunch of articles in papers that were too advanced for me to follow.)

    Thanks!

    -Dan
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    Quote Originally Posted by topsquark View Post
    I presume that the level of this topic is at the algebra level.

    In Problem of the Week #28 there is a mention of a "tight" inequality. Can anyone give me a definition of what this is?
    It just means "the best" possible inequality.

    For example, (x,y>0)
    x^2+y^2\geq Kxy
    Is "tight" for K=2.
    If K>2 then it fails.
    If K<2 then it can be improved to chose K=2.
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