Question

Prove that $\frac{a}{c\sqrt{a^2+1}}+\frac{b}{a\sqrt{b^2+1}}+\frac{c}{b\sqrt{c^2+1}}\ge \frac{3}{2}$

score 221 · Answer 1 · 2026-03-25 04:59:48

221

Views

Prove that $\frac{a}{c\sqrt{a^2+1}}+\frac{b}{a\sqrt{b^2+1}}+\frac{c}{b\sqrt{c^2+1}}\ge \frac{3}{2}$

Published on 25 Mar 2026 - 4:59

score 24 · Answer 2 · 2026-04-13 00:20:25

24

Views

Assigning range of values to unknowns in an inequation

Published on 13 Apr 2026 - 0:20

score 373 · Answer 3 · 2026-04-11 02:11:51

373

Views

Negatively correlated random variables Chebyshev bound?

Published on 11 Apr 2026 - 2:11

score 48 · Answer 4 · 2026-04-10 21:05:50

48

Views

negative/inverse triangular inequality, asymptotic analysis

Published on 10 Apr 2026 - 21:05

score 80 · Answer 5 · 2026-04-14 05:30:16

80

Views

Can this inequality regarding odd perfect numbers be improved?

Published on 14 Apr 2026 - 5:30

score 94 · Answer 6 · 2019-01-09 16:25:31

94

Views

Prove $\frac{dw}{dt} + aw \leq 0$ implies that $w(t)$ is a decreasing function

Published on 09 Jan 2019 - 16:25

score 90 · Answer 7 · 2026-04-13 16:51:43

90

Views

Inequality in 3 variables with a constraint condition

Published on 13 Apr 2026 - 16:51

score 383 · Answer 8 · 2019-01-09 18:56:22

Let $a,b,c$ be positive numbers such that $abc=1$. Prove that $\frac{a-1}{b}+\frac{b-1}{c}+\frac{c-1}{a} \geq 0$

score 117 · Answer 9 · 2026-04-14 08:31:19

117

Views

show this sum $\sum(x_{i})^{x_{i+1}}\le n^{(n-1)/n}$

Published on 14 Apr 2026 - 8:31

score 457 · Answer 10 · 2026-04-09 03:54:58

457

Views

show this inequality with $\sum_{i=1}^{n}a_{i}=n$

Published on 09 Apr 2026 - 3:54

score 48 · Answer 11 · 2019-01-10 05:52:56

48

Views

Show that $\| x \|^2_2 \| x\|_{2k-2}^{2k-2} \leq n^{1-2/k} \| x \|^{2k}_k$

Published on 10 Jan 2019 - 5:52

score 213 · Answer 12 · 2026-04-11 14:34:52

213

Views

Inequality about exponential moment of bounded random variable

Published on 11 Apr 2026 - 14:34

score 47 · Answer 13 · 2026-04-09 18:39:14

47

Views

Minimum value of a linear program

Published on 09 Apr 2026 - 18:39

score 273 · Answer 14 · 2026-04-11 20:59:57

273

Views

Sum of positive elements divided by their "weighted" product - inequality

Published on 11 Apr 2026 - 20:59

score 60 · Answer 15 · 2026-04-11 14:26:51

60

Views

How to show that $k_1k_2 - k_0 > 0$?

Published on 11 Apr 2026 - 14:26

List Question

Prove that $\frac{a}{c\sqrt{a^2+1}}+\frac{b}{a\sqrt{b^2+1}}+\frac{c}{b\sqrt{c^2+1}}\ge \frac{3}{2}$

Assigning range of values to unknowns in an inequation

Negatively correlated random variables Chebyshev bound?

negative/inverse triangular inequality, asymptotic analysis

Can this inequality regarding odd perfect numbers be improved?

Prove $\frac{dw}{dt} + aw \leq 0$ implies that $w(t)$ is a decreasing function

Inequality in 3 variables with a constraint condition

Let $a,b,c$ be positive numbers such that $abc=1$. Prove that $\frac{a-1}{b}+\frac{b-1}{c}+\frac{c-1}{a} \geq 0$

show this sum $\sum(x_{i})^{x_{i+1}}\le n^{(n-1)/n}$

show this inequality with $\sum_{i=1}^{n}a_{i}=n$

Show that $\| x \|^2_2 \| x\|_{2k-2}^{2k-2} \leq n^{1-2/k} \| x \|^{2k}_k$

Inequality about exponential moment of bounded random variable

Minimum value of a linear program

Sum of positive elements divided by their "weighted" product - inequality

How to show that $k_1k_2 - k_0 > 0$?

Trending Questions

Popular # Hahtags

Popular Questions