Proof for inequality containing a summatory and a product
13228
Proofs of AM-GM inequality
148451
Polynomial inequality proof
20309
Product and sum of positive operators is positive
149287
Prove that $A,B>0$ and $A_{ij}0$
48092
Inequality involving a finite sum
115464
Inequality involving inner product and norm
145884
Showing $\left|\frac{a+b}{2}\right|^p+\left|\frac{a-b}{2}\right|^p\leq\frac{1}{2}|a|^p+\frac{1}{2}|b|^p$
122156
An inequality concerning three positive numbers
23264
Inequality $ \vert \sqrt{a}-\sqrt{b} \vert \leq \sqrt{ \vert a -b \vert } $
52204
Proof of one inequality $a+b+c\leq\frac{a^3}{bc}+\frac{b^3}{ca}+\frac{c^3}{ab}$
118613
Proving an inequality: $|1-e^{i\theta}|\le|\theta|$
136737
Proof by Induction for inequality, $\sum_{k=1}^nk^{-2}\lt2-(1/n)$
73987
Prove the inequality $({1+\frac{a}b})^n$ + $(1+\frac{b}a)^n$ $\geq$ $2^{n+1}$
108688
An identity involving products of sums
15116
Proof of the inequality $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2}$
44823
Prove the general arithmetic-geometric mean inequality
77510
$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$