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

Published on 06 May 2026 - 2:44

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Bound for difference between arithmetic and geometric mean

Published on 07 May 2026 - 20:05

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Proving a small inequality

Published on 29 Apr 2026 - 12:19

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What is the range of the function $f(x)=\frac{4x(x^2+1)}{x^2+(x^2+1)^2}$?

Published on 29 Apr 2026 - 12:16

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In resticted domain , Applying the Cauchy-Schwarz's inequality

Published on 29 Apr 2026 - 12:18

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for $x,y,z\ge 0$, $x+y+z=2$, prove $\frac{x}{1+y^2}+\frac{y}{1+z^2}+\frac{z}{1+x^2}\ge\frac{18}{13}$

Published on 07 May 2026 - 17:26

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Interesting inequalities

Published on 05 May 2026 - 16:28

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Area of Triangle, Sine

Published on 05 May 2026 - 5:19

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Find local extrema $f(x_1,x_2, \ldots , x_n) = \sqrt{(x_1+x_2+\ldots x_n-a)(a-x_1)(a-x_2)\cdots (a-x_n)}$

Published on 29 Apr 2026 - 14:59

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Prove that $a+b+c\le \frac {a^3}{bc} + \frac {b^3}{ac} + \frac {c^3}{ab}$

Published on 02 May 2026 - 5:13

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An algebraic inequality involving $\sum_{cyc} \frac1{(a+2b+3c)^2}$

Published on 04 May 2026 - 8:40

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Maximum of a product of absolute values

Published on 29 Apr 2026 - 12:43

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Maximum Area of inscribed rectangle

Published on 07 May 2026 - 12:40

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How do we determine whether we are getting the minimum value or the maximum value of a function using lagrange...

Published on 04 May 2026 - 4:05

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Minimum value for a multiplication in an equation with 2 variables

Published on 29 Apr 2026 - 12:54

List Question

optimization with strict inequality of variables

Bound for difference between arithmetic and geometric mean

Proving a small inequality

What is the range of the function $f(x)=\frac{4x(x^2+1)}{x^2+(x^2+1)^2}$?

In resticted domain , Applying the Cauchy-Schwarz's inequality

for $x,y,z\ge 0$, $x+y+z=2$, prove $\frac{x}{1+y^2}+\frac{y}{1+z^2}+\frac{z}{1+x^2}\ge\frac{18}{13}$

Interesting inequalities

Area of Triangle, Sine

Find local extrema $f(x_1,x_2, \ldots , x_n) = \sqrt{(x_1+x_2+\ldots x_n-a)(a-x_1)(a-x_2)\cdots (a-x_n)}$

Prove that $a+b+c\le \frac {a^3}{bc} + \frac {b^3}{ac} + \frac {c^3}{ab}$

An algebraic inequality involving $\sum_{cyc} \frac1{(a+2b+3c)^2}$

Maximum of a product of absolute values

Maximum Area of inscribed rectangle

How do we determine whether we are getting the minimum value or the maximum value of a function using lagrange...

Minimum value for a multiplication in an equation with 2 variables

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