1. ## 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

2. Originally Posted by topsquark
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.