List questions from cauchy-schwarz-inequality

Published on 10 Jul 2019 - 14:15

65

Views

Prove the following inequality $a,b,c\in R_{+}^{*}$ and $2(a+b+c)=3$

Published on 11 Jul 2019 - 13:57

177

Views

Let $f (x$) = $\sqrt{−x^2 + 20x + 400} + \sqrt {x^2 − 20x}$. How many elements in the range of $f$ are integers?

Published on 14 Jul 2019 - 14:04

93

Views

Find all extrema of a complicated trigonometric function

Published on 15 Jul 2019 - 21:04

84

Views

Finding the operator norm of $\phi \in ((\ell^{2}, \|\cdot \|_{2}))^{*}$

Published on 19 Jul 2019 - 21:27

91

Views

Find the minimum value of $(\sin x+ \csc x)^2 + (\sec x + \cos x)^2$

Published on 27 Mar 2026 - 9:48

130

Views

Solve inequality

Published on 27 Mar 2026 - 13:38

92

Views

Given a, b, c are positive number, $abc=a+b+c$ prove $ab+4bc+9ac≥36$

Published on 27 Mar 2026 - 3:42

193

Views

How can I prove that $\frac{n^2}{x_1+x_2+\dots+x_n} \le \frac{1}{x_1}+ \frac{1}{x_2} +\dots+ \frac{1}{x_n}$?

Published on 25 Mar 2026 - 4:43

102

Views

shortest distance of $x^2 + y^2 = 4$ and $3x + 4y = 12$

Published on 26 Jul 2019 - 17:05

133

Views

Minimizing $9 \sec^2{x} + 16 \csc^2{x}$

Published on 27 Jul 2019 - 6:25

60

Views

an interesting inequality with Muirhead

Published on 25 Mar 2026 - 6:10

251

Views

Proving a reversed AM-HM inequality

Published on 27 Mar 2026 - 14:30

480

Views

Inequality on outer product

Published on 25 Mar 2026 - 23:35

225

Views

Does generalized Parseval identity series: $\langle g,h\rangle =\sum_{1}^{\infty}\langle g,e_i\rangle\langle e_i,h\rangle$ absolutely converge

Published on 23 Feb 2026 - 1:25

List Question

$\sum _{1}^{\infty}a_n^2/n$ converges then $(1/N)\sum_{1}^{N}a_n$ converges to zero.

Prove the following inequality $a,b,c\in R_{+}^{*}$ and $2(a+b+c)=3$

Let $f (x$) = $\sqrt{−x^2 + 20x + 400} + \sqrt {x^2 − 20x}$. How many elements in the range of $f$ are integers?

Find all extrema of a complicated trigonometric function

Finding the operator norm of $\phi \in ((\ell^{2}, \|\cdot \|_{2}))^{*}$

Find the minimum value of $(\sin x+ \csc x)^2 + (\sec x + \cos x)^2$

Solve inequality

Given a, b, c are positive number, $abc=a+b+c$ prove $ab+4bc+9ac≥36$

How can I prove that $\frac{n^2}{x_1+x_2+\dots+x_n} \le \frac{1}{x_1}+ \frac{1}{x_2} +\dots+ \frac{1}{x_n}$?

shortest distance of $x^2 + y^2 = 4$ and $3x + 4y = 12$

Minimizing $9 \sec^2{x} + 16 \csc^2{x}$

an interesting inequality with Muirhead

Proving a reversed AM-HM inequality

Inequality on outer product

Does generalized Parseval identity series: $\langle g,h\rangle =\sum_{1}^{\infty}\langle g,e_i\rangle\langle e_i,h\rangle$ absolutely converge

Trending Questions

Popular # Hahtags

Popular Questions