List questions from inequality

Published on 08 Apr 2026 - 3:43

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Show that $\max_{1\leq i\leq n}|X_i-\bar{X}| < \frac{(n-1)S}{\sqrt{n}}$

Published on 17 Apr 2026 - 7:54

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A doubt about greatest integer function

Published on 10 Apr 2026 - 3:33

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Prove that:$\int_{a}^{b}(2x^{3}-3(a+b)x^{2}+6abx)f'(x)dx\geq (a-b)^{3}f(a)$.

Published on 16 Apr 2026 - 22:43

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greatest value of $\mathop{\sum}_{1\leq i<j\leq n} \bigg|x_{i}-x_{j}\bigg|$ is

Published on 14 Apr 2026 - 17:36

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Find the continuous functions with the property that there is an $a\in\mathbb{R^{+}}$ and a $k\in\mathbb{N}$ such that $f(x)f(2x)...f(nx)\leq an^{k}$.

Published on 16 Apr 2026 - 14:31

333

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Understanding a technique mentioned in 2016 IMO Shortlist

Published on 13 Apr 2026 - 18:15

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Proof of Estimation Lemma (ML inequality) in Complex Analysis

Published on 08 Apr 2026 - 16:22

80

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Proof by Induction process for Inequalities

Published on 10 Apr 2026 - 22:36

247

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Find range of $x$ satisfying $\left \lfloor \frac{3}{x} \right \rfloor+\left \lfloor \frac{4}{x} \right \rfloor=5$

Published on 17 Apr 2026 - 3:56

132

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Proof idea for sum of square / square of sum inequality

Published on 11 Apr 2026 - 0:06

268

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Prove $\frac{a}{b+c}+\frac{b}{c+d}+\frac{c}{d+a}+\frac{d}{a+b}\ge2$ where a, b, c and d are positive real numbers

Published on 14 Apr 2026 - 20:15

47

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Can I write $2>x>1$ or must I write $1<x<2$?

Published on 15 Apr 2026 - 19:02

174

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Some Cauchy-Schwarz Inequalities

Published on 13 Apr 2026 - 9:20

111

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With $a, b, c$ are positive reals and $abc=1$, prove that

Published on 14 Apr 2026 - 8:30

List Question

Showing an Inequality Holds True

Show that $\max_{1\leq i\leq n}|X_i-\bar{X}| < \frac{(n-1)S}{\sqrt{n}}$

A doubt about greatest integer function

Prove that:$\int_{a}^{b}(2x^{3}-3(a+b)x^{2}+6abx)f'(x)dx\geq (a-b)^{3}f(a)$.

greatest value of $\mathop{\sum}_{1\leq i<j\leq n} \bigg|x_{i}-x_{j}\bigg|$ is

Find the continuous functions with the property that there is an $a\in\mathbb{R^{+}}$ and a $k\in\mathbb{N}$ such that $f(x)f(2x)...f(nx)\leq an^{k}$.

Understanding a technique mentioned in 2016 IMO Shortlist

Proof of Estimation Lemma (ML inequality) in Complex Analysis

Proof by Induction process for Inequalities

Find range of $x$ satisfying $\left \lfloor \frac{3}{x} \right \rfloor+\left \lfloor \frac{4}{x} \right \rfloor=5$

Proof idea for sum of square / square of sum inequality

Prove $\frac{a}{b+c}+\frac{b}{c+d}+\frac{c}{d+a}+\frac{d}{a+b}\ge2$ where a, b, c and d are positive real numbers

Can I write $2>x>1$ or must I write $1<x<2$?

Some Cauchy-Schwarz Inequalities

With $a, b, c$ are positive reals and $abc=1$, prove that

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