List questions from functional-inequalities

Published on 16 Mar 2026 - 23:51

6.2k

Views

Jensen's inequality proof explanation

Published on 16 Mar 2026 - 17:55

2.9k

Views

Find the smallest integer $n$ such that $(x^2 + y^2 + z^2)^2 \leq n(x^4 + y^4 + z^4)$ for all real numbers $x, y,$ and $z.$

Published on 17 Mar 2026 - 3:35

2.7k

Views

Prove that $\sqrt{ \frac{2x^2 - 2x + 1}{2} } \geq \frac{1}{x + \frac{1}{x}}$ for $0 < x < 1.$

Published on 17 Mar 2026 - 13:18

100

Views

$P(x)+P'''(x)\geq P'(x) + P''(x)$ then $P(x)>0 \, \forall x\in \mathbb R $

Published on 16 Mar 2026 - 23:45

357

Views

Prove that $W^{1,p}$-functions are "$L^{p}$-Lipschitz".

Published on 16 Mar 2026 - 23:50

266

Views

Prove that $e^x>x+1 \forall x\ne 0$

Published on 16 Mar 2026 - 21:59

820

Views

Inequality about Holder semi norm and Lp norm of a weak derivative on a Sobolev function.

Published on 16 Mar 2026 - 23:32

44

Views

Proving two directions of an inequality hold

Published on 17 Mar 2026 - 8:28

150

Views

If $xy+xz+yz=3$ so $\sum\limits_{cyc}\left(x^2y+x^2z+2\sqrt{xyz(x^3+3x)}\right)\geq2xyz\sum\limits_{cyc}(x^2+2)$

Published on 17 Mar 2026 - 4:32

242

Views

Find all $x$ to satisfy $|x-a|<|x-b|$.

Published on 16 Mar 2026 - 16:38

86

Views

Find $x$ such that $|x-a|<x-b$.

Published on 17 Mar 2026 - 12:01

60

Views

Proof for convexity of a function

Published on 17 Mar 2026 - 13:16

1.5k

Views

two variables quadratic inequalities solution

Published on 17 Mar 2026 - 4:57

1.1k

Views

Can Big-O be used to prove inequalities?

Published on 17 Mar 2026 - 0:16

List Question

Range of $\tan^2\frac A2+\tan^2\frac B2+\tan^2 \frac C2$ with $A,B,C$ angles in a triangle

Jensen's inequality proof explanation

Find the smallest integer $n$ such that $(x^2 + y^2 + z^2)^2 \leq n(x^4 + y^4 + z^4)$ for all real numbers $x, y,$ and $z.$

Prove that $\sqrt{ \frac{2x^2 - 2x + 1}{2} } \geq \frac{1}{x + \frac{1}{x}}$ for $0 < x < 1.$

$P(x)+P'''(x)\geq P'(x) + P''(x)$ then $P(x)>0 \, \forall x\in \mathbb R $

Prove that $W^{1,p}$-functions are "$L^{p}$-Lipschitz".

Prove that $e^x>x+1 \forall x\ne 0$

Inequality about Holder semi norm and Lp norm of a weak derivative on a Sobolev function.

Proving two directions of an inequality hold

If $xy+xz+yz=3$ so $\sum\limits_{cyc}\left(x^2y+x^2z+2\sqrt{xyz(x^3+3x)}\right)\geq2xyz\sum\limits_{cyc}(x^2+2)$

Find all $x$ to satisfy $|x-a|<|x-b|$.

Find $x$ such that $|x-a|<x-b$.

Proof for convexity of a function

two variables quadratic inequalities solution

Can Big-O be used to prove inequalities?

Trending Questions

Popular # Hahtags

Popular Questions