I started by trying to show the expression as the sum of squares:
any suggestion on how to go about from here......???
Advanced thanks for any help or suggestions....
Wow this is a fun inequality. This is what I did, it is similar to yours.
Adding the two gives
I'm not sure about if the strict inequality case is true. If it is, the adjustment would be minor (just show that if one of the expressions is zero if the other one is strictly positive).
great proof! Gusbob!
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