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Typical Olympiad Inequality? If $\sum_i^na_i=n$ with $a_i>0$, then $\sum_{i=1}^n\left(\frac{a_i^3+1}{a_i^2+1}\right)^4\geq n$

Justifying existence of dependent variables $X,Y$ with $P(X = x_i \cap Y = y_j) = \delta_{ij}p_i$

Tighter inequality than Cauchy - Schwarz inequality

Cauchy-Schwarz for sums of products of matrices

What are the most popular techniques of proving inequalities?

cyclic three variable inequality

A version of Hardy's inequality involving reciprocals.

Proving $\def\n#1{\left(\frac12+\sum\limits_{k=1}^n{#1}^{k^2}\right)}\n{a}\n{b}\ge{\n{(ab)}}^2$

If $\frac {1}{2+a} + \frac {1}{2+b} + \frac {1}{2+c} = 1$, prove $\sqrt{ab} + \sqrt{ac} + \sqrt{bc} \leq 3$

How to show an inequality in an inner product space?

Bordered Hessian matrix to find a minimum of the function

Show the Trace$(B)^{2} \leq$ nTrace$(B^{T}B)$

Proving an inequality with Cauchy-Schwarz

British Maths Olympiad (BMO) 2002 Round 1 Question 3 Proof without Cauchy-Schwarz?

New posts in cauchy-schwarz-inequality

Kantorovich inequality and Cauchy-Schwarz inequality

Prove a variant of the Cauchy-Schwarz inequality

Inequality for Olympiad students

Prove that $\frac{a}{b^2 + c}+\frac{b}{c^2 + a}+\frac{c}{a^2 + b} \ge \frac{3}{2}$ when $a+b+c=3$

How to prove this inequality with this $\sqrt{n\left(x_{1}^{2}+x_{2}^{2}+\dots+x_{n}^{2}\right)} $

Show inequality of integrals (cauchy-schwarz??)

Typical Olympiad Inequality? If $\sum_i^na_i=n$ with $a_i>0$, then $\sum_{i=1}^n\left(\frac{a_i^3+1}{a_i^2+1}\right)^4\geq n$

Justifying existence of dependent variables $X,Y$ with $P(X = x_i \cap Y = y_j) = \delta_{ij}p_i$

Tighter inequality than Cauchy - Schwarz inequality

Cauchy-Schwarz for sums of products of matrices

What are the most popular techniques of proving inequalities?

cyclic three variable inequality

A version of Hardy's inequality involving reciprocals.

Proving $\def\n#1{\left(\frac12+\sum\limits_{k=1}^n{#1}^{k^2}\right)}\n{a}\n{b}\ge{\n{(ab)}}^2$

If $\frac {1}{2+a} + \frac {1}{2+b} + \frac {1}{2+c} = 1$, prove $\sqrt{ab} + \sqrt{ac} + \sqrt{bc} \leq 3$

How to show an inequality in an inner product space?

Bordered Hessian matrix to find a minimum of the function

Show the Trace$(B)^{2} \leq$ nTrace$(B^{T}B)$

Proving an inequality with Cauchy-Schwarz

British Maths Olympiad (BMO) 2002 Round 1 Question 3 Proof without Cauchy-Schwarz?