Proving the inequality $(x+y)^\alpha \leq x^\alpha + y^\alpha$
3109
Prove that $(p+q)^m \leq p^m+q^m$
23264
Inequality $ \vert \sqrt{a}-\sqrt{b} \vert \leq \sqrt{ \vert a -b \vert } $
117281
How prove this inequality $x^3y+y^3z+z^3x\ge xyz(x+y+z)$
18313
show this inequality with $xy+yz+zx=3$
122115
Proving that $1+x^py^{1-p} \le (1+x)^p(1+y)^{1-p}$
77134
Proving a three variables inequality
133228
Prove $(|x| + |y|)^p \le |x|^p + |y|^p$ for $x,y \in \mathbb R$ and $p \in (0,1]$.
155341
Proving or disproving inequality $ \frac{xy}{z} + \frac{yz}{x} + \frac{zx}{y} \ge x + y + z $
56623
Stuck trying to prove an inequality
117262
Proving a logarithm inequality
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$
63958
how to prove this inequality $(ab+bc+ac)^2 ≥ 3abc(a+b+c)$
123757
Proving a summation inequality with induction
91871
Proving quadratic inequalities?
5369
Proving the inequality $|a-b| \leq |a-c| + |c-b|$ for real $a,b,c$
15232
Proving an inequality involving real powers
22237
Proof of triangle inequality