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

Published on 27 Oct 2019 - 17:41

75

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Show $(a^2 + b^2 + c^2 + d^2)^3 \ge 3 (a^3 + b^3 + c^3 + d^3)^2$

Published on 28 Oct 2019 - 18:23

67

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Inequality $3\cos(\frac{1}{3}\tan(\frac{1}{3}\sin(\frac{1}{3})))\leq\sum_{cyc}\cos(a\tan(b\sin(c)))\leq 3$

Published on 31 Oct 2019 - 14:02

110

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Proving an inequality using AM-GM

Published on 31 Oct 2019 - 19:10

113

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Help Understanding Proof for Inequality Problem #3 from Problem Solving Strategies

Published on 02 Nov 2019 - 22:58

48

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An elegant but difficult inequality.

Published on 09 Mar 2026 - 5:49

97

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Prove that : $\log_{n}(2)\log_{n}(4)\log_{n}(6)...\log_{n}(2n-2)\leq 1$ for all $2≤n\in \mathbb N$

Published on 06 Nov 2019 - 14:14

36

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Inequality Problem using the A.M. - G.M. inequality

Published on 07 Nov 2019 - 14:49

112

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Applying AM-GM inequality

Published on 07 Nov 2019 - 16:45

92

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Inequality for $|x| \geq 1$

Published on 10 Nov 2019 - 13:16

49

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An inequality which I got confused on.

Published on 11 Nov 2019 - 12:13

155

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Show that $\frac{a}{c} + \frac{b}{d} +\frac{c}{a} + \frac{d}{b}\le-12$

Published on 13 Nov 2019 - 22:45

253

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$x,y,z > 0$, prove that $ 3xyz + x^{3}+ y^{3} + z^{3} \ge 2 \left[ (xy)^{3/2} + (yz)^{3/2} + (xz)^{3/2} \right] $

Published on 14 Nov 2019 - 8:15

69

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Algebraic inequality with logarithms

Published on 15 Nov 2019 - 18:23

105

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Inequality with 5 cyclic variables

Published on 25 Mar 2026 - 4:42

List Question

Prove that $(1+a^2)(1+b^2)\geq 4ab$ for all $a,b>0$ without limits

Show $(a^2 + b^2 + c^2 + d^2)^3 \ge 3 (a^3 + b^3 + c^3 + d^3)^2$

Inequality $3\cos(\frac{1}{3}\tan(\frac{1}{3}\sin(\frac{1}{3})))\leq\sum_{cyc}\cos(a\tan(b\sin(c)))\leq 3$

Proving an inequality using AM-GM

Help Understanding Proof for Inequality Problem #3 from Problem Solving Strategies

An elegant but difficult inequality.

Prove that : $\log_{n}(2)\log_{n}(4)\log_{n}(6)...\log_{n}(2n-2)\leq 1$ for all $2≤n\in \mathbb N$

Inequality Problem using the A.M. - G.M. inequality

Applying AM-GM inequality

Inequality for $|x| \geq 1$

An inequality which I got confused on.

Show that $\frac{a}{c} + \frac{b}{d} +\frac{c}{a} + \frac{d}{b}\le-12$

$x,y,z > 0$, prove that $ 3xyz + x^{3}+ y^{3} + z^{3} \ge 2 \left[ (xy)^{3/2} + (yz)^{3/2} + (xz)^{3/2} \right] $

Algebraic inequality with logarithms

Inequality with 5 cyclic variables

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