List questions from a-m-g-m-inequality

Published on 03 Aug 2017 - 1:22

115

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How to prove $n^n \gt 1\cdot3\cdot.....(2n-1) $

Published on 03 Aug 2017 - 8:13

145

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Minimum of sum using AM-GM

Published on 03 Aug 2017 - 15:56

113

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Prove this inequality $\sum_{cyc}\frac{ab}{c\left(c+a\right)}\ge \sum_{cyc}\frac{a}{a+c}$

Published on 25 Mar 2026 - 20:20

138

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Wild inequality

Published on 30 Mar 2026 - 8:01

69

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How to prove $6abc \lt a^2(b+c)+b^2(c+a)+c^2(a+b)$

Published on 06 Aug 2017 - 13:05

2.6k

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How to prove that $b^2c^2+c^2a^2+a^2b^2 \gt abc(a+b+c)$

Published on 06 Aug 2017 - 13:20

177

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Find the minimize value of $P=\sum_{cyc}\frac{1}{\sqrt{a^2+b^2}}$

Published on 23 Feb 2026 - 8:05

105

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Inequality - Maximize k such that

Published on 26 Mar 2026 - 12:42

108

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Inequality $(xy+z)^2+(yz+x)^2+(zx+y)^2\geq\sqrt{2}(x+y)(y+z)(z+x)$

Published on 26 Mar 2026 - 12:50

3.1k

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Inequality : $\sqrt[3]{\frac{x^3+y^3+z^3}{xyz}} + \sqrt{\frac{xy+yz+zx}{x^2+y^2+z^2}} \geq 1+\sqrt[3]{3}$

Published on 26 Mar 2026 - 12:50

1.4k

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Generalization of algebraic Young's inequality to n variables.

Published on 25 Mar 2026 - 9:38

158

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A nice inequality with positive real tuples

Published on 26 Mar 2026 - 11:06

81

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is there any analytical way to konw if $\frac{1}{2x}+\frac{x}{2} >1$ for $(1,\infty)$ or $(0,\infty)$?

Published on 27 Mar 2026 - 3:44

275

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Finding the maximum without calculus

Published on 11 Aug 2017 - 9:03

List Question

Finding range of an unknown in a biquadratic equation

How to prove $n^n \gt 1\cdot3\cdot.....(2n-1) $

Minimum of sum using AM-GM

Prove this inequality $\sum_{cyc}\frac{ab}{c\left(c+a\right)}\ge \sum_{cyc}\frac{a}{a+c}$

Wild inequality

How to prove $6abc \lt a^2(b+c)+b^2(c+a)+c^2(a+b)$

How to prove that $b^2c^2+c^2a^2+a^2b^2 \gt abc(a+b+c)$

Find the minimize value of $P=\sum_{cyc}\frac{1}{\sqrt{a^2+b^2}}$

Inequality - Maximize k such that

Inequality $(xy+z)^2+(yz+x)^2+(zx+y)^2\geq\sqrt{2}(x+y)(y+z)(z+x)$

Inequality : $\sqrt[3]{\frac{x^3+y^3+z^3}{xyz}} + \sqrt{\frac{xy+yz+zx}{x^2+y^2+z^2}} \geq 1+\sqrt[3]{3}$

Generalization of algebraic Young's inequality to n variables.

A nice inequality with positive real tuples

is there any analytical way to konw if $\frac{1}{2x}+\frac{x}{2} >1$ for $(1,\infty)$ or $(0,\infty)$?

Finding the maximum without calculus

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