New posts in rearrangement-inequality

Proving the inequality $4\ge a^2b+b^2c+c^2a+abc$

inequality a.m.-g.m.-inequality rearrangement-inequality

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

inequality contest-math a.m.-g.m.-inequality cauchy-schwarz-inequality rearrangement-inequality

How prove this inequality $x^3y+y^3z+z^3x\ge xyz(x+y+z)$

inequality polynomials a.m.-g.m.-inequality sum-of-squares-method rearrangement-inequality

Proving $\left(\frac{a}{a+b+c}\right)^2+\left(\frac{b}{b+c+d}\right)^2+\left(\frac{c}{c+d+a}\right)^2+\left(\frac{d}{d+a+b}\right)^2\ge\frac{4}{9}$

inequality holder-inequality rearrangement-inequality tangent-line-method buffalo-way

Find minimum value of $\sum \frac{\sqrt{a}}{\sqrt{b}+\sqrt{c}-\sqrt{a}}$

inequality cauchy-schwarz-inequality geometric-inequalities jensen-inequality rearrangement-inequality

Inequality: $ab^2+bc^2+ca^2 \le 4$, when $a+b+c=3$.

inequality a.m.-g.m.-inequality rearrangement-inequality

Question involving Inequality [duplicate]

inequality summation contest-math rearrangement-inequality

Prove that $\sqrt{x_1}+\sqrt{x_2}+\cdots+\sqrt{x_n} \geq (n-1) \left (\frac{1}{\sqrt{x_1}}+\frac{1}{\sqrt{x_2}}+\cdots+\frac{1}{\sqrt{x_n}} \right )$

inequality contest-math radicals sum-of-squares-method rearrangement-inequality

Prove the inequality $\frac{a^8+b^8+c^8}{a^3b^3c^3}\ge\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$ for $a,b,c>0$

inequality contest-math rearrangement-inequality

Prove $4(x + y + z)^3 > 27(x^2y + y^2z + z^2x)$

contest-math rearrangement-inequality

Prove the inequality $a^2bc+b^2cd+c^2da+d^2ab \leq 4$ with $a+b+c+d=4$

inequality substitution a.m.-g.m.-inequality rearrangement-inequality

How prove this inequality $\sum\limits_{cyc}\frac{x+y}{\sqrt{x^2+xy+y^2+yz}}\ge 2+\sqrt{\frac{xy+yz+xz}{x^2+y^2+z^2}}$

inequality substitution cauchy-schwarz-inequality uvw rearrangement-inequality

If both $a,b>0$, then $a^ab^b \ge a^bb^a$ [closed]

algebra-precalculus inequality logarithms exponentiation rearrangement-inequality

Proof of the inequality $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2}$

inequality contest-math cauchy-schwarz-inequality sum-of-squares-method rearrangement-inequality