Question

Is 1 point homogeinety (essentially) , with F(1)=1; F:[0,1]\to[0,1], equivalent to, Cauchy's equation and continuity, by itself?

score 33 · Answer 1 · 2026-03-25 16:40:12

33

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Is 1 point homogeinety (essentially) , with F(1)=1; F:[0,1]\to[0,1], equivalent to, Cauchy's equation and continuity, by itself?

Published on 25 Mar 2026 - 16:40

score 183 · Answer 2 · 2017-05-01 23:29:46

183

Views

Integral inequality involving derivative in integrand

Published on 01 May 2017 - 23:29

score 386 · Answer 3 · 2017-05-03 18:57:37

386

Views

If $a, b, c$ are positive and $a+b+c=1$, prove that $8abc\le\ (1-a)(1-b)(1-c)\le\frac{8}{27}$

Published on 03 May 2017 - 18:57

score 44 · Answer 4 · 2017-05-07 07:32:10

44

Views

A special solution for a functional inequality from $\mathbb{R}\times \mathbb{R} $ onto $\mathbb{R}$

Published on 07 May 2017 - 7:32

score 44 · Answer 5 · 2017-05-07 14:40:14

44

Views

Prove the basic algebraic inequality used extensively everywhere.

Published on 07 May 2017 - 14:40

score 95 · Answer 6 · 2017-05-09 19:45:10

95

Views

Find function such that $\sum y_i\le\sum x_i\Rightarrow\sum f(y_i)\le\sum f(x_i)$

Published on 09 May 2017 - 19:45

score 38 · Answer 7 · 2017-05-12 06:08:37

38

Views

Proof of the inequality $(2n/\textrm{log}n -1)/\sqrt{n} \geq \textrm{log} n$ for sufficiently large n?

Published on 12 May 2017 - 6:08

score 111 · Answer 8 · 2017-05-16 22:37:02

111

Views

Information inequality

Published on 16 May 2017 - 22:37

score 1.1k · Answer 9 · 2017-05-18 17:26:08

1.1k

Views

Question about the proof of General Sobolev Inequality in P.D.E. by Evan

Published on 18 May 2017 - 17:26

score 91 · Answer 10 · 2017-05-27 21:04:14

91

Views

Does this idea generally true ?!

Published on 27 May 2017 - 21:04

score 268 · Answer 11 · 2017-06-04 17:38:53

268

Views

An inequality: Bound of first derivative by the sup norms

Published on 04 Jun 2017 - 17:38

score 78 · Answer 12 · 2017-06-11 14:10:49

78

Views

How to ensure that sum of exp function always positive?

Published on 11 Jun 2017 - 14:10

score 113 · Answer 13 · 2017-06-12 20:03:45

113

Views

Proving a variable less than a constant

Published on 12 Jun 2017 - 20:03

score 73 · Answer 14 · 2017-06-17 14:22:59

73

Views

What conditions of $x$ such that $e^{x^e} \ge x^{e^x}$?

Published on 17 Jun 2017 - 14:22

score 225 · Answer 15 · 2026-02-24 00:32:11

225

Views

Question about transportation-entropy inequality (From Villani's book: Optimal Transport, Old and New)

Published on 24 Feb 2026 - 0:32

List Question

Is 1 point homogeinety (essentially) , with F(1)=1; F:[0,1]\to[0,1], equivalent to, Cauchy's equation and continuity, by itself?

Integral inequality involving derivative in integrand

If $a, b, c$ are positive and $a+b+c=1$, prove that $8abc\le\ (1-a)(1-b)(1-c)\le\frac{8}{27}$

A special solution for a functional inequality from $\mathbb{R}\times \mathbb{R} $ onto $\mathbb{R}$

Prove the basic algebraic inequality used extensively everywhere.

Find function such that $\sum y_i\le\sum x_i\Rightarrow\sum f(y_i)\le\sum f(x_i)$

Proof of the inequality $(2n/\textrm{log}n -1)/\sqrt{n} \geq \textrm{log} n$ for sufficiently large n?

Information inequality

Question about the proof of General Sobolev Inequality in P.D.E. by Evan

Does this idea generally true ?!

An inequality: Bound of first derivative by the sup norms

How to ensure that sum of exp function always positive?

Proving a variable less than a constant

What conditions of $x$ such that $e^{x^e} \ge x^{e^x}$?

Question about transportation-entropy inequality (From Villani's book: Optimal Transport, Old and New)

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