List questions from inequality

Published on 15 Apr 2026 - 1:41

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Integral inequality of length of curve

Published on 13 Apr 2026 - 21:26

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Find $\max k$ in the inequality $y^2 - xy + x + 2y + 5 \geq k\,(\sqrt{3x} + \sqrt{y})$ for $0\le x,y\le 3$.

Published on 15 Apr 2026 - 22:03

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Prove that $n^2\in \mathcal O(n^2-1)$.

Published on 15 Apr 2026 - 12:34

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What is the name of this inequality?

Published on 16 Apr 2026 - 14:45

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Help with an application of Young's inequality

Published on 23 Apr 2026 - 12:34

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I don't understand how how they came to these equations

Published on 12 Apr 2026 - 11:38

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Q: Inequality $\frac{\sum_{k=1}^{M} A_{k}}{\sum_{k=1}^{M} B_{k}} \leq \frac{1}{M} \sum_{k=1}^{M} \frac{A_{k}}{B_{k}}$, where $A_{k}, B_{k} \geq 0$

Published on 17 Apr 2026 - 10:23

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Maximise right circular cone volume with fixed surface area using inequalites

Published on 16 Apr 2026 - 6:05

151

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How to prove the follwing inequality $(a+b)(b+c)(c+a) \ge 8$

Published on 13 Apr 2026 - 23:01

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Prove or disprove $|a| \geq 2|b| \implies |a+b| \geq |b|$

Published on 17 Apr 2026 - 14:33

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Find the number of ordered triplets satisfying $5\left(x+\frac{1}{x}\right)=12\left(y+\frac{1}{y}\right)=13\left(z+\frac{1}{z}\right)$

Published on 16 Apr 2026 - 23:33

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Prove that in every triangle the inequality $a^3r_a + b^3r_b + c^3r_c \ge 8S(2R-r)^2 $ takes place

Published on 14 Apr 2026 - 9:27

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Choosing two constants

Published on 08 Apr 2026 - 1:30

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Inequality proof (strange)

Published on 11 Apr 2026 - 0:14

List Question

Is this argument a valid use of inductive proof?

Integral inequality of length of curve

Find $\max k$ in the inequality $y^2 - xy + x + 2y + 5 \geq k\,(\sqrt{3x} + \sqrt{y})$ for $0\le x,y\le 3$.

Prove that $n^2\in \mathcal O(n^2-1)$.

What is the name of this inequality?

Help with an application of Young's inequality

I don't understand how how they came to these equations

Q: Inequality $\frac{\sum_{k=1}^{M} A_{k}}{\sum_{k=1}^{M} B_{k}} \leq \frac{1}{M} \sum_{k=1}^{M} \frac{A_{k}}{B_{k}}$, where $A_{k}, B_{k} \geq 0$

Maximise right circular cone volume with fixed surface area using inequalites

How to prove the follwing inequality $(a+b)(b+c)(c+a) \ge 8$

Prove or disprove $|a| \geq 2|b| \implies |a+b| \geq |b|$

Find the number of ordered triplets satisfying $5\left(x+\frac{1}{x}\right)=12\left(y+\frac{1}{y}\right)=13\left(z+\frac{1}{z}\right)$

Prove that in every triangle the inequality $a^3r_a + b^3r_b + c^3r_c \ge 8S(2R-r)^2 $ takes place

Choosing two constants

Inequality proof (strange)

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