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    A simple but nifty inequality math residuetheorem.com
    vector_spaces avatar via vector_spaces 10 days ago |
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    | 2 comments

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    gthm avatar gthm edited 10 days ago | link

    I’m covered in kids so it’s hard to check, but does this not follow more quickly from Cauchy-Schwarz applied to the second given inequality?

    Edit: No, we only get a weaker result.

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      efavdb avatar efavdb 8 days ago | link

      Nice. BTW, it looks like your method could be generalized to bound avg(f^2) whenever we know avg(f) and avg(xf).