Question

three variable inequality $x+y+z\le xyz+2$ with constraint $x^2+y^2+z^2=2$

score 81 · Answer 1 · 2026-03-29 19:27:40

81

Views

three variable inequality $x+y+z\le xyz+2$ with constraint $x^2+y^2+z^2=2$

Published on 29 Mar 2026 - 19:27

score 53 · Answer 2 · 2026-03-27 04:21:49

53

Views

How to find values of variables for which $f(x)= x^3+3x^2+4x+b \sin x + c \cos x$ is one-one?

Published on 27 Mar 2026 - 4:21

score 72 · Answer 3 · 2020-06-15 21:30:21

72

Views

Show that $\left(\frac{a}{b}\right)^{1/4}+\left(\frac{b}{c}\right)^{1/4}+\left(\frac{c}{a}\right)^{1/4}\leq3$

Published on 15 Jun 2020 - 21:30

score 16 · Answer 4 · 2026-03-10 13:10:34

16

Views

Given $I[F] := \int_0^1F^\prime(x)^2dx$, prove$|F(x_2) - F(x_1)| \leq (I[F])^\frac12 \cdot|x_2 - x_1|^\frac12$

Published on 10 Mar 2026 - 13:10

score 40 · Answer 5 · 2020-06-16 18:18:37

40

Views

In doubt with Cauchy-Schwarz inequality for complex numbers

Published on 16 Jun 2020 - 18:18

score 320 · Answer 6 · 2026-03-30 03:35:44

320

Views

Orthogonal projection using Cauchy Schwarz Inequality

Published on 30 Mar 2026 - 3:35

score 541 · Answer 7 · 2020-06-17 08:35:07

541

Views

How to Prove this Cauchy-Schwarz Inequality for Matrices?

Published on 17 Jun 2020 - 8:35

score 141 · Answer 8 · 2026-03-25 09:43:09

141

Views

Prove that if $abc \geq 1$ and $a,b,c > 0$ then $\frac{1}{1 + a + b} + \frac{1}{1 + b + c} + \frac{1}{1 + c + a} \leq 1$

Published on 25 Mar 2026 - 9:43

score 51 · Answer 9 · 2020-06-18 16:34:23

51

Views

$(\lvert a\rvert +\lvert b\rvert)^{p}\leq 2^{p}(\lvert a\rvert^{p} +\lvert b\rvert^{p})$ for $p > 1$ and are absolute values necessary?

Published on 18 Jun 2020 - 16:34

score 86 · Answer 10 · 2020-06-18 22:14:09

86

Views

Inequality about symmetric mean ($8(x+y+z)(xy+yz+xz)\leq 9(x+y)(y+z)(x+z)$)

Published on 18 Jun 2020 - 22:14

score 107 · Answer 11 · 2020-06-19 03:01:35

107

Views

Prove that $ \sum_{i=1}^{N} a_i \leq \sqrt{N \sum_{i=1}^{N}a_i^2} $

Published on 19 Jun 2020 - 3:01

score 123 · Answer 12 · 2020-06-20 10:44:03

123

Views

On a generalization of Cauchy-Schwarz inequality

Published on 20 Jun 2020 - 10:44

score 138 · Answer 13 · 2026-03-28 12:14:04

138

Views

Variation of Nesbitt Inequality with the geometric mean

Published on 28 Mar 2026 - 12:14

score 166 · Answer 14 · 2026-03-28 12:14:12

166

Views

Inequality of arithmetic mean of two sets

Published on 28 Mar 2026 - 12:14

score 103 · Answer 15 · 2026-03-28 14:00:24

103

Views

Prove that $\frac{\sum_\text{cyc} x_1}{2020^2} \geq (n - 1)(\sum_\text{cyc} \frac{1}{x_1})$

Published on 28 Mar 2026 - 14:00

List Question

three variable inequality $x+y+z\le xyz+2$ with constraint $x^2+y^2+z^2=2$

How to find values of variables for which $f(x)= x^3+3x^2+4x+b \sin x + c \cos x$ is one-one?

Show that $\left(\frac{a}{b}\right)^{1/4}+\left(\frac{b}{c}\right)^{1/4}+\left(\frac{c}{a}\right)^{1/4}\leq3$

Given $I[F] := \int_0^1F^\prime(x)^2dx$, prove$|F(x_2) - F(x_1)| \leq (I[F])^\frac12 \cdot|x_2 - x_1|^\frac12$

In doubt with Cauchy-Schwarz inequality for complex numbers

Orthogonal projection using Cauchy Schwarz Inequality

How to Prove this Cauchy-Schwarz Inequality for Matrices?

Prove that if $abc \geq 1$ and $a,b,c > 0$ then $\frac{1}{1 + a + b} + \frac{1}{1 + b + c} + \frac{1}{1 + c + a} \leq 1$

$(\lvert a\rvert +\lvert b\rvert)^{p}\leq 2^{p}(\lvert a\rvert^{p} +\lvert b\rvert^{p})$ for $p > 1$ and are absolute values necessary?

Inequality about symmetric mean ($8(x+y+z)(xy+yz+xz)\leq 9(x+y)(y+z)(x+z)$)

Prove that $ \sum_{i=1}^{N} a_i \leq \sqrt{N \sum_{i=1}^{N}a_i^2} $

On a generalization of Cauchy-Schwarz inequality

Variation of Nesbitt Inequality with the geometric mean

Inequality of arithmetic mean of two sets

Prove that $\frac{\sum_\text{cyc} x_1}{2020^2} \geq (n - 1)(\sum_\text{cyc} \frac{1}{x_1})$

Trending Questions

Popular # Hahtags

Popular Questions