how about if we square both sides of reverse triangle inequality and end up with $|X||Y|\gt XY$? The same output as if we square triangle inequality.

Oct 21, 2015 · Here there is my proof (quite short and easy) of a rather straightforward result. The text of this question comes from a previous question of mine, where I ended up working on a …

Sep 9, 2018 · In the context of plane geometry, the reverse triangle inequality states that any side of a triangle is greater than or equal to the difference between the other two sides.

Proving the reverse triangle inequality of the complex numbers Ask Question Asked 11 years, 1 month ago Modified 10 years, 1 month ago

Feb 18, 2013 · The significance of the triangle inequality is not in some deep insight its proof requires, but rather in its usefulness and in its elegant formulation compared to the tedious …

Apr 15, 2021 · In that case you should prove the original triangle inequality in the same generality (complex scalars) that you need here. Any book on linear algebra should have a proof. Or see …

In my opinion the proper way to prove the triangle inequality for $L_p$ spaces is via duality - I wish people taught it that way instead of those magical computational tricks.

Mar 7, 2020 · 2 As far as I know that is the only proof of the reverse triangle inequality. At least, I've never seen a different one. Compare with what Wikipedia writes.

Aug 1, 2019 · Whilst trying to come up with a proof for the reverse triangle inequality, I came up with this. I know that I overcomplicated things, but still wanted to know whether what I did was …

May 9, 2020 · This is of course reflected in the fact that the reverse triangle inequality is a direct consequence of the triangle inequality.