$P(|X| \geq \lambda a) \geq (1-\lambda)^2a^2$
138962
$X$ is a random variable, if $\Bbb E(X^2)=1$ and $\Bbb E(X)\geq a>0$, prove that $\Bbb P(X\geq\lambda a)\geq(a-\lambda a)^2$ for $0\leq\lambda\leq 1$.
99644
Finding an Upper Bound on This Inequality
89555
Inequality for the p norm of a convolution
35867
Squaring sides of an inequality
66535
How to prove $P(A\cap B)\geqslant P(A)+P(B)-1$?
155974
Show $||Tx||_2 \leq ||(v_n)||_2 \cdot ||x||_{\infty}$
46760
To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$
118212
Is it true that $A^A\simeq P(A)$?
28822
$|x| - |y| \leq |x-y|?$
90343
Proving the inequality $|e^z-1|\leq e^{|z|}-1$
17164
How do you show monotonicity of the $\ell^p$ norms?
76863
How to show $ \sup \inf g(x,y) \leq \inf \sup g(x,y)$?
77026
Proof with inequalities
116387
How to prove that $\Gamma(x) \leq x^x$ for $x \geq 1$
139674
Prove $\ln\frac{p}{q}\leq \frac{p-q}{\sqrt{pq}}$ for $0<q\leq p$
7974
lim sup inequality $\limsup ( a_n b_n ) \leq \limsup a_n \limsup b_n $
30386
Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$