Question

Inequality related to a bijection $x\mapsto |x|^{-2}x$

score 60 · Answer 1 · 2026-04-16 05:35:19

60

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Inequality related to a bijection $x\mapsto |x|^{-2}x$

Published on 16 Apr 2026 - 5:35

score 315 · Answer 2 · 2026-04-16 11:29:39

315

Views

Hints for showing that if $x,y \geq 0$, then $(x+y)^k \geq x^k + y^k$ for all $k \geq 1$

Published on 16 Apr 2026 - 11:29

score 108 · Answer 3 · 2026-04-17 02:32:15

108

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Attempting to prove the following inequality

Published on 17 Apr 2026 - 2:32

score 91 · Answer 4 · 2026-04-16 22:12:36

91

Views

Why is the expression: $\frac{1}{x} \geq e^{-x} $ is different then the expression: $e^{x} \geq x$?

Published on 16 Apr 2026 - 22:12

score 137 · Answer 5 · 2026-04-15 08:30:25

137

Views

Prove an Inequality with $ 2 $ Different Logs

Published on 15 Apr 2026 - 8:30

score 2k · Answer 6 · 2026-04-15 03:06:00

2k

Views

Singular value inequality for sum of 2 matrices

Published on 15 Apr 2026 - 3:06

score 102 · Answer 7 · 2026-04-15 07:59:26

102

Views

Proving $b^a(1-b)^{1-a} \leq a^a(1-a)^{1-a}$ where $0 \leq b \leq a \leq 1$

Published on 15 Apr 2026 - 7:59

score 50 · Answer 8 · 2026-04-15 22:32:49

50

Views

Improving the bound for $\sigma(q^k)/q^k$ where $q^k n^2$ is an odd perfect number given in Eulerian form

Published on 15 Apr 2026 - 22:32

score 94 · Answer 9 · 2026-04-13 05:15:54

94

Views

Proving inequality using convexity

Published on 13 Apr 2026 - 5:15

score 50 · Answer 10 · 2026-04-14 16:51:58

50

Views

I have an inequality which is giving me the correct answer, except that the sign is opposite to what it should be, any help?

Published on 14 Apr 2026 - 16:51

score 604 · Answer 11 · 2026-04-14 17:48:11

604

Views

Make shapes with inequality

Published on 14 Apr 2026 - 17:48

score 44 · Answer 12 · 2026-03-25 11:03:15

44

Views

How do I prove this relationship between positive terms of a G.P.?

Published on 25 Mar 2026 - 11:03

score 53 · Answer 13 · 2026-04-16 22:01:18

Prove that ${1\over x_1}+{1\over x_2}+\dots+{1\over x_n}\lt3$ if no $x_j=10^kx_i+n$ where $x_i,k,n\in\mathbb{Z^+}$ and $x_i\not=x_j$

score 44 · Answer 14 · 2026-04-15 16:46:10

44

Views

Correctness of the induction step

Published on 15 Apr 2026 - 16:46

score 683 · Answer 15 · 2026-04-14 21:14:27

683

Views

What is the maximum value of $\frac{x^{100}}{1+x+x^2+\ldots+x^{200}}$?

Published on 14 Apr 2026 - 21:14

List Question

Inequality related to a bijection $x\mapsto |x|^{-2}x$

Hints for showing that if $x,y \geq 0$, then $(x+y)^k \geq x^k + y^k$ for all $k \geq 1$

Attempting to prove the following inequality

Why is the expression: $\frac{1}{x} \geq e^{-x} $ is different then the expression: $e^{x} \geq x$?

Prove an Inequality with $ 2 $ Different Logs

Singular value inequality for sum of 2 matrices

Proving $b^a(1-b)^{1-a} \leq a^a(1-a)^{1-a}$ where $0 \leq b \leq a \leq 1$

Improving the bound for $\sigma(q^k)/q^k$ where $q^k n^2$ is an odd perfect number given in Eulerian form

Proving inequality using convexity

I have an inequality which is giving me the correct answer, except that the sign is opposite to what it should be, any help?

Make shapes with inequality

How do I prove this relationship between positive terms of a G.P.?

Prove that ${1\over x_1}+{1\over x_2}+\dots+{1\over x_n}\lt3$ if no $x_j=10^kx_i+n$ where $x_i,k,n\in\mathbb{Z^+}$ and $x_i\not=x_j$

Correctness of the induction step

What is the maximum value of $\frac{x^{100}}{1+x+x^2+\ldots+x^{200}}$?

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