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Results tagged with inequalities
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user 91357
for questions involving inequalities, upper and lower bounds.
3
votes
1
answer
296
views
Trying to prove an inequality
I am working on a problem and for that purpose, I need to prove the following inequality. Let $t\in [0,1]$ and set
$$
z_0=1-4t(1-t)\sin^2(4x)\\
z_1=1-4z_0(1-z_0)\sin^2(3x)
$$
I need to show that for a …
- 697
8
votes
2
answers
462
views
A trig inequality
Let $m$ be an odd and $n$ an even positive integers. I need to estimate the maximum value of $\left|\sin(m\theta)\sin(n\theta)\right|$:
$$
c_{m,n}:=\max_{\theta\in[0,\pi]} \left| \sin(m\theta) \sin(n\ …
- 697