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Math Help - help me with integral inequality

  1. #1
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    help me with integral inequality

    good day
    can you help me please I have homework and Icann't solution
    the homework is proof that the inequality :

    Double integral (from a to b)(from c to d) of ( f(x,y) (∂^2f(x,y)/∂x∂y))dy dx <= ((b-a)(d-c))/8 double integral (from a to b)(from c to d) of (∂^2f(x,y)/∂x∂y))^2 dy dx

    and thank you for help me.
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  2. #2
    Senior Member ecMathGeek's Avatar
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    Quote Originally Posted by someone1 View Post
    good day
    can you help me please I have homework and Icann't solution
    the homework is proof that the inequality :

    Double integral (from a to b)(from c to d) of ( f(x,y) (∂^2f(x,y)/∂x∂y))dy dx <= ((b-a)(d-c))/8 double integral (from a to b)(from c to d) of (∂^2f(x,y)/∂x∂y))^2 dy dx

    and thank you for help me.
    This hardly belongs in "Inequalities," or, for that matter, anywhere in "Elementary and Middle School Math Help"
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  3. #3
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    thank you Mr. ecMathGeek
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