Question

Proving Young's inequality for n numbers whitout using AM-GM inequality

score 268 · Answer 1 · 2026-03-25 14:24:00

268

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Proving Young's inequality for n numbers whitout using AM-GM inequality

Published on 25 Mar 2026 - 14:24

score 42 · Answer 2 · 2021-03-05 03:29:06

42

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Find the mistake (AM GM ineqality)

Published on 05 Mar 2021 - 3:29

score 120 · Answer 3 · 2021-03-05 16:33:41

120

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If $x,y,z>0$ with $x+y+z=\sqrt{3}$, prove that: $\sqrt{x^2+1-yz}+\sqrt{y^2+1-zx}+\sqrt{z^2+1-xy}\ge 3$ (Venezuela 1960)

Published on 05 Mar 2021 - 16:33

score 52 · Answer 4 · 2021-03-06 07:20:59

52

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Inequality question involving a cyclic expression and moduli

Published on 06 Mar 2021 - 7:20

score 128 · Answer 5 · 2021-03-07 07:27:49

128

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$(a+b)(a+bc) + (b+c)(b+ca) + (c+a)(c+ab) \ge 12$ if $ab+bc+ca=3$

Published on 07 Mar 2021 - 7:27

score 124 · Answer 6 · 2021-03-07 10:32:13

124

Views

Inequality $a^2+2b^2+8c^2\geq2a(b+2c)$

Published on 07 Mar 2021 - 10:32

score 165 · Answer 7 · 2026-03-27 21:18:10

165

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generalized f-mean/power mean inequalities

Published on 27 Mar 2026 - 21:18

score 44 · Answer 8 · 2021-03-10 22:54:55

44

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Optimisation of a cost function

Published on 10 Mar 2021 - 22:54

score 93 · Answer 9 · 2021-03-11 12:04:34

93

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If $a+b+c=3,$ show $a+b+c\geq ab+bc+ac$ by using AM-GM

Published on 11 Mar 2021 - 12:04

score 50 · Answer 10 · 2021-03-14 20:09:14

50

Views

how to prove this inequality which gives upper bound of inner product $|\langle A_{t}(x),x\rangle|$

Published on 14 Mar 2021 - 20:09

score 354 · Answer 11 · 2021-03-16 14:58:54

354

Views

Weighted quadratic mean inequality

Published on 16 Mar 2021 - 14:58

score 91 · Answer 12 · 2021-03-16 15:08:10

91

Views

Solve the inequality $a^3/(2b^3+ab^2)+b^3/(2c^3+bc^2)+c^3/(2d^3+cd^2)+d^3/(2a^3+da^2)\geq 4/3$ for $a,b,c>0$.

Published on 16 Mar 2021 - 15:08

score 63 · Answer 13 · 2021-03-16 21:32:00

63

Views

Prove the inequality $(a+b)(b+c)(a+c)\ge8$ if $a^2+b^2+c^2+abc=4$.

Published on 16 Mar 2021 - 21:32

score 58 · Answer 14 · 2021-03-17 11:57:21

58

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If $s=a+b+c,p=ab+bc+ac, r=abc, s^2-2p+r=4$ and $a,b,c>0,$ prove that $2sp+15r^2\geq 33r$

Published on 17 Mar 2021 - 11:57

score 48 · Answer 15 · 2021-03-17 20:42:02

48

Views

Proving an inequality with $6$ variables and a constant $C$

Published on 17 Mar 2021 - 20:42

List Question

Proving Young's inequality for n numbers whitout using AM-GM inequality

Find the mistake (AM GM ineqality)

If $x,y,z>0$ with $x+y+z=\sqrt{3}$, prove that: $\sqrt{x^2+1-yz}+\sqrt{y^2+1-zx}+\sqrt{z^2+1-xy}\ge 3$ (Venezuela 1960)

Inequality question involving a cyclic expression and moduli

$(a+b)(a+bc) + (b+c)(b+ca) + (c+a)(c+ab) \ge 12$ if $ab+bc+ca=3$

Inequality $a^2+2b^2+8c^2\geq2a(b+2c)$

generalized f-mean/power mean inequalities

Optimisation of a cost function

If $a+b+c=3,$ show $a+b+c\geq ab+bc+ac$ by using AM-GM

how to prove this inequality which gives upper bound of inner product $|\langle A_{t}(x),x\rangle|$

Weighted quadratic mean inequality

Solve the inequality $a^3/(2b^3+ab^2)+b^3/(2c^3+bc^2)+c^3/(2d^3+cd^2)+d^3/(2a^3+da^2)\geq 4/3$ for $a,b,c>0$.

Prove the inequality $(a+b)(b+c)(a+c)\ge8$ if $a^2+b^2+c^2+abc=4$.

If $s=a+b+c,p=ab+bc+ac, r=abc, s^2-2p+r=4$ and $a,b,c>0,$ prove that $2sp+15r^2\geq 33r$

Proving an inequality with $6$ variables and a constant $C$

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