New posts in a.m.-g.m.-inequality

For positive real numbers $a,b,c$ such that $a+b+c=1$. Prove that...

algebra-precalculus inequality a.m.-g.m.-inequality

SOS: Proof of the AM-GM inequality

inequality alternative-proof a.m.-g.m.-inequality sum-of-squares-method

For positive real numbers $a,b$ prove that $\sqrt[3]{2(a+b)(\frac{1}{a}+\frac{1}{b})}\ge\sqrt[3]{\frac{a}{b}}+\sqrt[3]{\frac{b}{a}}$.

algebra-precalculus inequality polynomials means a.m.-g.m.-inequality

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

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

Min $P=\frac{x^5y}{x^2+1} +\frac{y^5z}{y^2+1} +\frac{z^5x}{z^2+1}$

algebra-precalculus inequality contest-math a.m.-g.m.-inequality

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

inequality cauchy-schwarz-inequality a.m.-g.m.-inequality

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

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Find the minimum value of $2a+ (1/a) + (1/2b) + b$, where a, b > 0

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

How to apply the AM-GM relation in this inequality?

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

For $a\geq2$, $b\geq2$ and $c\geq2$, prove that $\left(a^3+b\right)\left(b^3+c\right)\left(c^3+a\right)\geq125 abc$

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Prove this Generalizing AM-GM inequality

calculus multivariable-calculus inequality a.m.-g.m.-inequality

Tighter inequality than Cauchy - Schwarz inequality

algebra-precalculus inequality a.m.-g.m.-inequality cauchy-schwarz-inequality

Tricky inequality involving 3 variables

inequality optimization radicals substitution a.m.-g.m.-inequality

About an inequality wich have a link with $\sqrt{\dfrac{a^b}{b}}+\sqrt{\dfrac{b^a}{a}}\ge 2$

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

Is it true that $\sum_{i=1}^n ( nGx_i^{G} + G^{x_i}) \ge n^2G + G^2n$, for all $x_i>0$, where $G=\prod_{j=1}^nx_j$?

inequality summation conjectures a.m.-g.m.-inequality

Which one is greater in value: $3ab^2$ or $a^3+2b^3$?

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

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

algebra-precalculus inequality contest-math a.m.-g.m.-inequality cauchy-schwarz-inequality

Verify $\cos{x}<\left(\frac{\sin{x}}{x}\right)^3$ for $0<x<\pi/2$.

real-analysis derivatives inequality contest-math a.m.-g.m.-inequality

How to compare logarithms $\log_4 5$ and $\log_5 6$?

calculus algebra-precalculus inequality logarithms a.m.-g.m.-inequality

Prove that $a^4+b^4+1\ge a+b$.

algebra-precalculus inequality symmetric-polynomials a.m.-g.m.-inequality