Question

Given three positive numbers $a,b,c$. Prove that $\sum\limits_{sym}\frac{a+b}{c}\geqq 2\sqrt{(\sum\limits_{sym}a)(\sum\limits_{sym}\frac{a}{bc}})$ .

score 228 · Answer 1 · 2026-03-27 10:09:56

228

Views

Given three positive numbers $a,b,c$. Prove that $\sum\limits_{sym}\frac{a+b}{c}\geqq 2\sqrt{(\sum\limits_{sym}a)(\sum\limits_{sym}\frac{a}{bc}})$ .

Published on 27 Mar 2026 - 10:09

score 48 · Answer 2 · 2019-09-28 23:43:05

48

Views

Let $h^$ the H-L maximal function. Show that $[h^]^{-1}((c,\infty ])$ is open for all $c>0$

Published on 28 Sep 2019 - 23:43

score 104 · Answer 3 · 2026-03-27 16:22:13

104

Views

Product of all elements in a finite, boolean group

Published on 27 Mar 2026 - 16:22

score 34 · Answer 4 · 2019-09-30 16:18:05

34

Views

Showing boundedness in $\mathbb{R}^2$ implies totally boundedness

Published on 30 Sep 2019 - 16:18

score 157 · Answer 5 · 2019-09-30 18:43:54

157

Views

Prove the product topology of $X\times Y$ is indeed a topology by using axioms ONLY and NOT using the knowledge of basis

Published on 30 Sep 2019 - 18:43

score 93 · Answer 6 · 2019-10-01 08:39:09

93

Views

Does conjunction of linear inequalities implies the summation of them

Published on 01 Oct 2019 - 8:39

score 240 · Answer 7 · 2019-10-01 14:25:55

240

Views

if every sequence $(x_n)$ of $A$ contains a Cauchy subsequence, then $A$ is totally bounded

Published on 01 Oct 2019 - 14:25

score 157 · Answer 8 · 2014-03-12 14:30:39

157

Views

Prove that a function defined on points in a plane is zero

Published on 12 Mar 2014 - 14:30

score 756 · Answer 9 · 2014-03-15 08:02:44

756

Views

Abel's test: how to prove it

Published on 15 Mar 2014 - 8:02

score 157 · Answer 10 · 2026-03-26 14:34:29

157

Views

Observations needed to justify an algebraic passage in proof of a property of $\varphi$ (Totient function)

Published on 26 Mar 2026 - 14:34

score 107 · Answer 11 · 2014-03-15 21:37:43

107

Views

How to give an epsilon-delta proof of this limit statement?

Published on 15 Mar 2014 - 21:37

score 4.2k · Answer 12 · 2014-03-16 08:32:47

4.2k

Views

closed unit ball in a Banach space is closed in the weak topology

Published on 16 Mar 2014 - 8:32

score 454 · Answer 13 · 2026-03-28 06:24:00

454

Views

Solution of $\frac{a}{b}=\frac{a'}{b'}$ if $a,b,a',b' \in \mathbb{N}$

Published on 28 Mar 2026 - 6:24

score 231 · Answer 14 · 2026-03-26 12:40:38

231

Views

Proof without words for $\sum_{i=0}^\infty(-1)^i\frac{1}{2i+1}$

Published on 26 Mar 2026 - 12:40

score 223 · Answer 15 · 2014-03-16 15:16:42

223

Views

An algebraic proof that a set has $2^n$ subsets. (I'm looking for an inductive argument.)

Published on 16 Mar 2014 - 15:16

List Question

Given three positive numbers $a,b,c$. Prove that $\sum\limits_{sym}\frac{a+b}{c}\geqq 2\sqrt{(\sum\limits_{sym}a)(\sum\limits_{sym}\frac{a}{bc}})$ .

Let $h^$ the H-L maximal function. Show that $[h^]^{-1}((c,\infty ])$ is open for all $c>0$

Product of all elements in a finite, boolean group

Showing boundedness in $\mathbb{R}^2$ implies totally boundedness

Prove the product topology of $X\times Y$ is indeed a topology by using axioms ONLY and NOT using the knowledge of basis

Does conjunction of linear inequalities implies the summation of them

if every sequence $(x_n)$ of $A$ contains a Cauchy subsequence, then $A$ is totally bounded

Prove that a function defined on points in a plane is zero

Abel's test: how to prove it

Observations needed to justify an algebraic passage in proof of a property of $\varphi$ (Totient function)

How to give an epsilon-delta proof of this limit statement?

closed unit ball in a Banach space is closed in the weak topology

Solution of $\frac{a}{b}=\frac{a'}{b'}$ if $a,b,a',b' \in \mathbb{N}$

Proof without words for $\sum_{i=0}^\infty(-1)^i\frac{1}{2i+1}$

An algebraic proof that a set has $2^n$ subsets. (I'm looking for an inductive argument.)

Trending Questions

Popular # Hahtags

Popular Questions