Proof of an inequality for all $u,v\in\mathbb{C}$, such that $\vert u\vert, \vert v\vert<1$ and $u\overline{v}\neq \overline{u}v$
49296
Prove $|(1+|u|^2)v-(1+|v|^2)u|>|u\bar{v}-\bar{u}v|$
138212
Please help me prove: $v(a+b)\leq v(a)+v(b)$, and $v(ab)\leq v(a)v(b)$ where $v(x)=\inf{\{\vert x^n \vert}^{1/n}: n\in\mathbb{N}\}$
138959
On the equality case of the Hölder and Minkowski inequalities
77026
Proof with inequalities
38448
Show that a simple inequality holds: $a<b$ implies $\frac ab < \frac{a+1}{b+1}$
67313
Proving $\{(x_1, x_2) \in \mathbb{R}^2_{+} \mid x_1 x_2 \geq 1\}$ is convex
144500
Cauchy-Schwarz inequality proof (but not the usual one)
43504
Proving the existence of a complement subspace $U' \subset V$.
15232
Proving an inequality involving real powers
33637
Proofs of the Cauchy-Schwarz Inequality?
4315
show that if $n\geq1$, $(1+{1\over n})^n<(1+{1\over n+1})^{n+1}$
19804
How to prove that $|w_{n+1}-w_n| \leq (2/3)^2 |w_n - w_{n-1}|$?
44912
Prove that $ \overline {A^\complement} = (A°)^\complement $
77134
Proving a three variables inequality
5369
Proving the inequality $|a-b| \leq |a-c| + |c-b|$ for real $a,b,c$
19823
Inequality involving $\limsup$ and $\liminf$: $ \liminf(a_{n+1}/a_n) \le \liminf((a_n)^{(1/n)}) \le \limsup((a_n)^{(1/n)}) \le \limsup(a_{n+1}/a_n)$
63526
Proving that $(\sup_{x\in R}|f'(x)|)^2\leq 4\sup_{x\in R}|f(x)|\cdot\sup_{x\in R}|f''(x)|$.