List questions from inequality

Published on 09 Apr 2026 - 16:50

88

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Prove using induction that $n^6 < 3^n$,for all $n > 18$

Published on 25 Mar 2026 - 19:03

137

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$\frac{|a|}{|b-c|} + \frac{|b|}{|c-a|} + \frac{|c|}{|b-a|} \geq 2$

Published on 19 Nov 2018 - 17:22

22

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$\prod_{i=1}^{n}x_i^{p_i}\le p_1x_1+\ldots +p_nx_n$ strict inequality when $p_i \neq p_j$ for $i \neq j$

Published on 19 Nov 2018 - 17:33

160

Views

${x\choose 2}+{n-x\choose 2} \leq {n-1\choose 2}$

Published on 28 Mar 2026 - 5:22

71

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Holder continuity of the derivate of $|x|^\alpha$ for $\alpha>1$

Published on 19 Nov 2018 - 21:12

92

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Let $k\in\Bbb{N}$. Prove that $0<\frac{1}{k}-\ln(1+\frac{1}{k})<\frac{1}{2k^2}$

Published on 02 Apr 2026 - 22:28

361

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Maximize $x_1^3+x_2^3+\cdots + x_n^3$

Published on 19 Nov 2018 - 23:47

132

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System of equations with three variables

Published on 11 Apr 2026 - 23:00

42

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Prove that for $|z| < R$, we have $\frac{|z|}{|z^2-n^2|} \leq \frac{R}{n^2-R^2}$

Published on 20 Nov 2018 - 5:34

63

Views

Help with absolute value inequalitie

Published on 11 Apr 2026 - 11:23

299

Views

Inequality regarding sum of squared probabilities

Published on 11 Apr 2026 - 23:05

61

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On inf and sup of a sequence

Published on 20 Nov 2018 - 12:24

44

Views

Solving a complicated inequality

Published on 12 Apr 2026 - 1:15

44

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Inequality of small two numbers with power

Published on 10 Apr 2026 - 22:46

List Question

Inequality properties between their multiplications

Prove using induction that $n^6 < 3^n$,for all $n > 18$

$\frac{|a|}{|b-c|} + \frac{|b|}{|c-a|} + \frac{|c|}{|b-a|} \geq 2$

$\prod_{i=1}^{n}x_i^{p_i}\le p_1x_1+\ldots +p_nx_n$ strict inequality when $p_i \neq p_j$ for $i \neq j$

${x\choose 2}+{n-x\choose 2} \leq {n-1\choose 2}$

Holder continuity of the derivate of $|x|^\alpha$ for $\alpha>1$

Let $k\in\Bbb{N}$. Prove that $0<\frac{1}{k}-\ln(1+\frac{1}{k})<\frac{1}{2k^2}$

Maximize $x_1^3+x_2^3+\cdots + x_n^3$

System of equations with three variables

Prove that for $|z| < R$, we have $\frac{|z|}{|z^2-n^2|} \leq \frac{R}{n^2-R^2}$

Help with absolute value inequalitie

Inequality regarding sum of squared probabilities

On inf and sup of a sequence

Solving a complicated inequality

Inequality of small two numbers with power

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