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

Published on 07 May 2017 - 9:48

95

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Inequality proof regarding factorial

Published on 08 May 2017 - 9:19

104

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Cauchy-Schwarz sanity check

Published on 08 May 2017 - 21:56

263

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General Mathematics and Inequalities

Published on 09 May 2017 - 5:58

132

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Prove $\sqrt[3]{a^2+3}+\frac{7}{5\sqrt[3]{14}}\sqrt[3]{b^2+3}+\frac{\sqrt[3]{9}}{5}\sqrt[3]{c^2+3}\ge \frac{23}{5\sqrt[3]{2}}$ given $ab+bc+ca\ge11$

Published on 26 Mar 2026 - 16:10

119

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Is this combination of AM-GM and Muirhead valid?

Published on 09 May 2017 - 17:08

422

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Proving inequality using AM-GM inequality

Published on 10 May 2017 - 20:12

240

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Given $a+b+c+d=4$ To find Minimum value of $\frac{a}{b^3+4}+\frac{b}{c^3+4}+\frac{c}{d^3+4}+\frac{d}{a^3+4}$

Published on 27 Mar 2026 - 10:12

265

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Prove: $\frac{a}{m_a}+\frac{b}{m_b}+\frac{c}{m_c}\ge 2\sqrt{3}$

Published on 26 Mar 2026 - 19:18

118

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to find the range of $\lambda$

Published on 12 May 2017 - 3:22

113

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Range of $|\vec a - \vec b|^2+|\vec b - \vec c|^2+|\vec c - \vec a|^2$

Published on 13 May 2017 - 3:35

103

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Prove that $\sum_{cyc}\frac{2a}{\sqrt{3a+b}}\le \sqrt{3(a+b+c)}$

Published on 13 May 2017 - 16:18

71

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Find the interval of $a^2+b^2+c^2$

Published on 14 May 2017 - 12:18

72

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Find maximize $A=\sum_{cyc}\sqrt{1+x^2}+2(\sum_{cyc}\sqrt{x})$

Published on 25 Mar 2026 - 12:26

193

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Algebra: Inequality in interval $[0, 1]$ (Junior Serbian Mathematical Olympiad 2014)

Published on 14 May 2017 - 18:43

List Question

Prove $\sqrt{\frac{a^2+b^2+c^2+d^2}{4}}\geq\sqrt[3]{\frac{abc+abd+acd+bcd}{4}}$

Inequality proof regarding factorial

Cauchy-Schwarz sanity check

General Mathematics and Inequalities

Prove $\sqrt[3]{a^2+3}+\frac{7}{5\sqrt[3]{14}}\sqrt[3]{b^2+3}+\frac{\sqrt[3]{9}}{5}\sqrt[3]{c^2+3}\ge \frac{23}{5\sqrt[3]{2}}$ given $ab+bc+ca\ge11$

Is this combination of AM-GM and Muirhead valid?

Proving inequality using AM-GM inequality

Given $a+b+c+d=4$ To find Minimum value of $\frac{a}{b^3+4}+\frac{b}{c^3+4}+\frac{c}{d^3+4}+\frac{d}{a^3+4}$

Prove: $\frac{a}{m_a}+\frac{b}{m_b}+\frac{c}{m_c}\ge 2\sqrt{3}$

to find the range of $\lambda$

Range of $|\vec a - \vec b|^2+|\vec b - \vec c|^2+|\vec c - \vec a|^2$

Prove that $\sum_{cyc}\frac{2a}{\sqrt{3a+b}}\le \sqrt{3(a+b+c)}$

Find the interval of $a^2+b^2+c^2$

Find maximize $A=\sum_{cyc}\sqrt{1+x^2}+2(\sum_{cyc}\sqrt{x})$

Algebra: Inequality in interval $[0, 1]$ (Junior Serbian Mathematical Olympiad 2014)

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