Prove the inequality $2|xy|≤x^2+y^2$
72470
Prove that $2|ab| \leq a^2 + b^2$ and $|a|+|b| \leq \sqrt {2}(a^2+b^2)^{1/2}$
33617
Prove the inequality involving multiple integrals
15237
Prove an inequality using complex analysis
33543
is "y1 < x < y2" an inequality or inequalities?
152311
Proving expression$\geq 2$, where variables are $x,y,z$
76267
Prove that: $x_1\cdot x_2\cdots x_n>y_1\cdot y_2\cdots y_m$.
83386
Inequality with exponents $x^x+y^y \ge x^y +y^x$
106979
Prove the inequality and limitation
72081
$\forall x,y>0, x^x+y^y \geq x^y + y^x$
12837
Inequality with condition $x^2+y^2+z^2=1$.
41293
Prove the inequalities $|z_1 +z_2| \geq \frac{1}{2}(|z_1|+|z_2|)|\frac {z_1} {|z_1|} +\frac {z_2} {|z_2|}|$
1305
Proving the AM-GM inequality for 2 numbers $\sqrt{xy}\le\frac{x+y}2$
148451
Polynomial inequality proof
88687
Proof of the inequality $||a+b|^p - |a|^p| \leq \epsilon |a|^p + C_{\epsilon} |b|^p$
129890
Proving inequality $|\sin(n\theta) |\le n\sin\theta$
66387
Prove $(x_1+.....+x_n)^2 \leq n(x_1^2 + .....+x_n^2)$
126032
Proving a certain inequality