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for questions involving inequalities, upper and lower bounds.
5
votes
1
answer
189
views
Conditions under which inequality holds for all triplets of non-negative reals
I have the following inequality:
$$ \left(\frac{1}{3}
\left(
\left(\frac{a+b}{2}\right)^3 +
\left(\frac{a+c}{2}\right)^3 +
\left(\frac{b+c}{2}\right)^3 \right) \right)^\frac{1} …