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

Published on 21 Dec 2017 - 23:24

1.8k

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Elementary proof for $\sqrt[3]{xyz} \leq \dfrac{x+y+z}{3}$

Published on 25 Mar 2026 - 17:40

265

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Contest Inequality - Is it AM GM?

Published on 28 Dec 2017 - 4:01

290

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Inequality : $\sum_{cyc}\frac{\sqrt{2}a^2b}{2a+b} \leq \sum_{cyc} \frac{\sqrt{a^2+b^2}}{2ab+1}$

Published on 26 Mar 2026 - 17:53

85

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About contradictory inequality

Published on 30 Dec 2017 - 12:10

1.9k

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If in ,$r=1$,$R=3$ and $s=5$ then find value of $a^2+b^2+c^2$

Published on 31 Mar 2026 - 3:33

81

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To prove that all the terms in the LHS are equal when A.M=G.M...

Published on 02 Jan 2018 - 8:56

93

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Help with a simple trigonometry problem

Published on 02 Jan 2018 - 19:28

118

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from cyclic to symetric sums

Published on 25 Mar 2026 - 17:37

113

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Prove that $ a^4b^4+ a^4c^4+b^4c^4\le3$

Published on 31 Mar 2026 - 3:28

46

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Mazimisation problem with Lagrange's mutipliers

Published on 03 Jan 2018 - 19:35

65

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Prove an inequality $\frac{x^2}{1+y}+\frac{y^2}{1+x}\ge 1$ where $x,y \ge 0$ and $x+y=2$.

Published on 25 Mar 2026 - 13:58

783

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Maximum area of a bounded rectangle

Published on 08 Jan 2018 - 2:09

117

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a four variable inequality

Published on 08 Jan 2018 - 12:23

337

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algebrainc proof for $\alpha\beta \leq \frac{\alpha^p}{p} + \frac{\beta^q}{q}$ for conjugate exponents p and q

Published on 10 Jan 2018 - 19:35

List Question

$x_1 \cdot \dots \cdot x_n=1 \implies x_1 + \dots + x_n \ge n$

Elementary proof for $\sqrt[3]{xyz} \leq \dfrac{x+y+z}{3}$

Contest Inequality - Is it AM GM?

Inequality : $\sum_{cyc}\frac{\sqrt{2}a^2b}{2a+b} \leq \sum_{cyc} \frac{\sqrt{a^2+b^2}}{2ab+1}$

About contradictory inequality

If in ,$r=1$,$R=3$ and $s=5$ then find value of $a^2+b^2+c^2$

To prove that all the terms in the LHS are equal when A.M=G.M...

Help with a simple trigonometry problem

from cyclic to symetric sums

Prove that $ a^4b^4+ a^4c^4+b^4c^4\le3$

Mazimisation problem with Lagrange's mutipliers

Prove an inequality $\frac{x^2}{1+y}+\frac{y^2}{1+x}\ge 1$ where $x,y \ge 0$ and $x+y=2$.

Maximum area of a bounded rectangle

a four variable inequality

algebrainc proof for $\alpha\beta \leq \frac{\alpha^p}{p} + \frac{\beta^q}{q}$ for conjugate exponents p and q

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