Question

Fenchel conjugate of rank function

score 89 · Answer 1 · 2026-03-24 20:32:01

89

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Fenchel conjugate of rank function

Published on 24 Mar 2026 - 20:32

score 48 · Answer 2 · 2026-03-25 11:12:04

48

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Given a function find its inverse and solve the inequality $2f(x^2-1)<1$

Published on 25 Mar 2026 - 11:12

score 89 · Answer 3 · 2026-03-27 21:17:48

89

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Proving the inequality $\|A\|_2 ^2 \le \|A\|_1 \|A\|_\infty$

Published on 27 Mar 2026 - 21:17

score 46 · Answer 4 · 2026-03-25 01:18:51

46

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Showing that $f(x) = \sum_{k=0}^\infty{} \frac{\cos(k!x)}{(k!)^k}$ is not real analytic for any $x\in\mathbb{R}$

Published on 25 Mar 2026 - 1:18

score 55 · Answer 5 · 2018-04-08 10:08:25

55

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Prove $b^{c- a}\geq a^{c- b}c^{b- a}$

Published on 08 Apr 2018 - 10:08

score 239 · Answer 6 · 2026-03-25 00:01:37

239

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Symmetric inequality with three variables including radicals

Published on 25 Mar 2026 - 0:01

score 35 · Answer 7 · 2026-03-25 04:44:16

35

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Showing that $4f(x)\le x+2, \forall x\ge 0$ with the help of $f''$ and the tangent of $C_f$

Published on 25 Mar 2026 - 4:44

score 153 · Answer 8 · 2026-03-22 20:17:53

153

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Proving $a^4+b^4+c^4+(\sqrt {3}-1)(a^2 b c+a b^2 c+a b c^2 )\ge \sqrt {3} (a^3 b+b^3 c+c^3 a)$ for real $a$, $b$, $c$

Published on 22 Mar 2026 - 20:17

score 436 · Answer 9 · 2026-03-25 04:36:31

436

Views

Ratio of integrals

Published on 25 Mar 2026 - 4:36

score 115 · Answer 10 · 2026-03-25 23:50:53

115

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Proving an Inequality - Functions

Published on 25 Mar 2026 - 23:50

score 124 · Answer 11 · 2026-03-25 19:10:17

124

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Find the maximum value of the expression $ P = {{x} ^ {2}} - \frac {3} {4x} - \frac {x} {y} $

Published on 25 Mar 2026 - 19:10

score 221 · Answer 12 · 2026-03-25 23:58:43

Finding the minimum of $λ$ such that $|a-b|^p\le λ(2-|a-b|)\left|\frac{a|a|^{p-1}}{1-|a|}-\frac{b|b|^{p-1}}{1-|b|}\right|$ for $a,b\in(-1,1)$

score 606 · Answer 13 · 2026-03-25 03:04:15

606

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$f$ convex, $g$ concave and increasing, $\int_0^1 f = \int_0^1 g$, then $\int_0^1(f)^2 \geq \int_0^1(g)^2$

Published on 25 Mar 2026 - 3:04

score 78 · Answer 14 · 2026-03-26 01:10:39

78

Views

Finding all positive $a$ such that $a^x \geq x$ for all real $x$

Published on 26 Mar 2026 - 1:10

score 151 · Answer 15 · 2026-03-25 06:31:54

151

Views

$\sqrt x$ continuity using $\epsilon-\delta$ definition

Published on 25 Mar 2026 - 6:31

List Question

Fenchel conjugate of rank function

Given a function find its inverse and solve the inequality $2f(x^2-1)<1$

Proving the inequality $\|A\|_2 ^2 \le \|A\|_1 \|A\|_\infty$

Showing that $f(x) = \sum_{k=0}^\infty{} \frac{\cos(k!x)}{(k!)^k}$ is not real analytic for any $x\in\mathbb{R}$

Prove $b^{c- a}\geq a^{c- b}c^{b- a}$

Symmetric inequality with three variables including radicals

Showing that $4f(x)\le x+2, \forall x\ge 0$ with the help of $f''$ and the tangent of $C_f$

Proving $a^4+b^4+c^4+(\sqrt {3}-1)(a^2 b c+a b^2 c+a b c^2 )\ge \sqrt {3} (a^3 b+b^3 c+c^3 a)$ for real $a$, $b$, $c$

Ratio of integrals

Proving an Inequality - Functions

Find the maximum value of the expression $ P = {{x} ^ {2}} - \frac {3} {4x} - \frac {x} {y} $

Finding the minimum of $λ$ such that $|a-b|^p\le λ(2-|a-b|)\left|\frac{a|a|^{p-1}}{1-|a|}-\frac{b|b|^{p-1}}{1-|b|}\right|$ for $a,b\in(-1,1)$

$f$ convex, $g$ concave and increasing, $\int_0^1 f = \int_0^1 g$, then $\int_0^1(f)^2 \geq \int_0^1(g)^2$

Finding all positive $a$ such that $a^x \geq x$ for all real $x$

$\sqrt x$ continuity using $\epsilon-\delta$ definition

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