List questions from inequality

Published on 20 Sep 2018 - 22:11

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Inequality involving positive real numbers

Published on 21 Sep 2018 - 2:00

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Given triangle sides $a$, $b$, $c$, show $\sum_{\text{cyc}}\frac{a}{a+b}\geq\frac32\prod_{\text{cyc}}(\frac{a}{a+b}+\frac{b}{b+c})$

Published on 25 Mar 2026 - 22:05

231

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Small-o asymptotic notation and inequality

Published on 27 Mar 2026 - 21:15

148

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Finding all real solutions to $y^2=x^3-3x^2+2x$ and $x^2=y^3-3y^2+2y$

Published on 27 Mar 2026 - 14:55

108

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Prove that for some real numbers $a$ and $b$: $(a^2+a+1)^{-1/2}+(b^2+b+1)^{-1/2}+4((a+b)^2-2(a+b)+4)^{-1/2} \leq 4$

Published on 21 Sep 2018 - 15:30

827

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Proving Cauchy-Schwarz with Arithmetic Geometric mean

Published on 01 Apr 2026 - 22:40

2.1k

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Prove Cauchy-Schwarz with AM-GM for three variables

Published on 27 Mar 2026 - 5:58

40

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Is there a difference between these two statements concerning sequences

Published on 30 Mar 2026 - 21:10

365

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Prove by induction that $\sqrt{1}+\sqrt{2}+...+\sqrt{n} \geq \frac{2}{3}n\sqrt{n}$

Published on 26 Mar 2026 - 12:37

928

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Extending Cauchy-Schwarz

Published on 08 Apr 2026 - 11:03

209

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Does $\log\varLambda \leq - \log(b)$ imply $\log\varLambda \leq - \frac{\log(b)}{12}$?

Published on 02 Apr 2026 - 0:16

338

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Inequality $(\int_0^1 |f|)^2 \leq \frac{1}{12}\int_0^1 {f'}^2$

Published on 25 Mar 2026 - 12:28

79

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Generalized Mean Inequality with STD

Published on 26 Mar 2026 - 2:53

44

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Universal implication of two inequalities

Published on 23 Sep 2018 - 2:53

List Question

Solving three inequalities with three variables

Inequality involving positive real numbers

Given triangle sides $a$, $b$, $c$, show $\sum_{\text{cyc}}\frac{a}{a+b}\geq\frac32\prod_{\text{cyc}}(\frac{a}{a+b}+\frac{b}{b+c})$

Small-o asymptotic notation and inequality

Finding all real solutions to $y^2=x^3-3x^2+2x$ and $x^2=y^3-3y^2+2y$

Prove that for some real numbers $a$ and $b$: $(a^2+a+1)^{-1/2}+(b^2+b+1)^{-1/2}+4((a+b)^2-2(a+b)+4)^{-1/2} \leq 4$

Proving Cauchy-Schwarz with Arithmetic Geometric mean

Prove Cauchy-Schwarz with AM-GM for three variables

Is there a difference between these two statements concerning sequences

Prove by induction that $\sqrt{1}+\sqrt{2}+...+\sqrt{n} \geq \frac{2}{3}n\sqrt{n}$

Extending Cauchy-Schwarz

Does $\log\varLambda \leq - \log(b)$ imply $\log\varLambda \leq - \frac{\log(b)}{12}$?

Inequality $(\int_0^1 |f|)^2 \leq \frac{1}{12}\int_0^1 {f'}^2$

Generalized Mean Inequality with STD

Universal implication of two inequalities

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