List questions from inequality

Published on 12 Apr 2026 - 16:55

124

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Maximising $\frac{x^n}{n!}$

Published on 16 Apr 2026 - 15:33

54

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Inequality with minimal k

Published on 10 Apr 2026 - 20:00

120

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If $f^2(t) \le 1+2\int_0^tf(s)\mathrm{d}s$ prove $f(t)\le 1+t$

Published on 16 Apr 2026 - 2:27

135

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Prove/disprove that $\frac{x^2 - \sqrt{yz}}{yz - x} + \frac{y^2 - \sqrt{zx}}{zx - y} + \frac{z^2 - \sqrt{xy}}{xy - z} \ge 0$

Published on 17 Apr 2026 - 9:02

81

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Prove that $\sqrt 7 + 2 \sqrt 5 < 2 + \sqrt{35}$

Published on 16 Apr 2026 - 6:16

67

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Find values of $a$ such that $x^2+ax+a^2+6a \lt 0$ $\forall$ $x \in (1,2)$

Published on 16 Apr 2026 - 0:40

41

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Prove that if $x<y$, then $3x+2y<2x+3y<5y$

Published on 16 Apr 2026 - 1:23

66

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What's going on with this inequality?

Published on 14 Apr 2026 - 21:17

115

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Find the minimum value of $abc$.

Published on 14 Apr 2026 - 4:42

88

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Prove that $\frac{a + b + c}{b - a} > 3$ with $ab < b^2 < 4ca$.

Published on 15 Apr 2026 - 7:50

223

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Find minimum of $4(a^3 + b^3 + c^3) + 15abc$ subject to $a + b + c = 2$

Published on 17 Apr 2026 - 8:14

103

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Proving inequality $x\ln(x)+y\ln(y)\geq(x+y)\ln(\frac{x+y}{2})$

Published on 16 Apr 2026 - 21:05

76

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is this convex inequality possibly true?

Published on 09 Apr 2026 - 10:32

112

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A question on vector norm error analysis

Published on 08 Apr 2026 - 23:26

List Question

Prove that $‎f(x+h)+f(x-h)-2f(x)‎\leq0 ‎\;\;‎;\; ‎h‎>0‎$‎

Maximising $\frac{x^n}{n!}$

Inequality with minimal k

If $f^2(t) \le 1+2\int_0^tf(s)\mathrm{d}s$ prove $f(t)\le 1+t$

Prove/disprove that $\frac{x^2 - \sqrt{yz}}{yz - x} + \frac{y^2 - \sqrt{zx}}{zx - y} + \frac{z^2 - \sqrt{xy}}{xy - z} \ge 0$

Prove that $\sqrt 7 + 2 \sqrt 5 < 2 + \sqrt{35}$

Find values of $a$ such that $x^2+ax+a^2+6a \lt 0$ $\forall$ $x \in (1,2)$

Prove that if $x<y$, then $3x+2y<2x+3y<5y$

What's going on with this inequality?

Find the minimum value of $abc$.

Prove that $\frac{a + b + c}{b - a} > 3$ with $ab < b^2 < 4ca$.

Find minimum of $4(a^3 + b^3 + c^3) + 15abc$ subject to $a + b + c = 2$

Proving inequality $x\ln(x)+y\ln(y)\geq(x+y)\ln(\frac{x+y}{2})$

is this convex inequality possibly true?

A question on vector norm error analysis

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