List questions from inequality

Published on 21 Mar 2018 - 19:29

117

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Let $n \in \Bbb{N}$. Let $x_1,x_2,\ldots,x_n$ be positive real numbers such that $\prod_{i=1}^n x_i = 1$. Prove that $\sum_{i=1}^n x_i \ge n $

Published on 24 Mar 2026 - 23:51

125

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Prove that $\left|\frac{1}{z^4-4z^2+3}\right|\leq \frac{1}{3}$, if $|z|=2$

Published on 27 Mar 2026 - 19:44

93

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Inequality of $(\log(n))!$

Published on 25 Mar 2026 - 21:47

64

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hard inequality with exponential

Published on 21 Mar 2018 - 22:56

488

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Spivak's Calculus: Ch. 1, Problem 14 (absolute value inequality)

Published on 29 Mar 2026 - 14:01

33

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Is it possible to prove this inequality with a geometric sum

Published on 22 Mar 2018 - 4:17

269

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Identities for the soft minimum/maximum

Published on 27 Mar 2026 - 18:07

77

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On proving that $(x+y)^z+(x+z)^y+(y+z)^x > 2 $ with $x,y,z > 0$.

Published on 25 Mar 2026 - 22:05

31

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basic inequality using quadratic equation

Published on 22 Mar 2018 - 15:24

89

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Proving this inequality by mathematical induction

Published on 25 Mar 2026 - 17:36

94

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$\frac{N}{n}$; probability

Published on 26 Mar 2026 - 20:18

70

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Proving that $0<\int_0^\sqrt{2}x\sin(\sqrt[3]{4x^2})\le1$

Published on 23 Mar 2018 - 10:48

34

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Minimum value of $(a,b,c)$ from origin

Published on 23 Mar 2018 - 14:37

54

Views

Does a different inequality automatically contradict a given inequality in a proof

Published on 23 Mar 2018 - 19:24

List Question

When can we plug an inequality into a different equation?

Let $n \in \Bbb{N}$. Let $x_1,x_2,\ldots,x_n$ be positive real numbers such that $\prod_{i=1}^n x_i = 1$. Prove that $\sum_{i=1}^n x_i \ge n $

Prove that $\left|\frac{1}{z^4-4z^2+3}\right|\leq \frac{1}{3}$, if $|z|=2$

Inequality of $(\log(n))!$

hard inequality with exponential

Spivak's Calculus: Ch. 1, Problem 14 (absolute value inequality)

Is it possible to prove this inequality with a geometric sum

Identities for the soft minimum/maximum

On proving that $(x+y)^z+(x+z)^y+(y+z)^x > 2 $ with $x,y,z > 0$.

basic inequality using quadratic equation

Proving this inequality by mathematical induction

$\frac{N}{n}$; probability

Proving that $0<\int_0^\sqrt{2}x\sin(\sqrt[3]{4x^2})\le1$

Minimum value of $(a,b,c)$ from origin

Does a different inequality automatically contradict a given inequality in a proof

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