List questions from inequality

Published on 25 Mar 2026 - 11:10

135

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Prove that $m^2(r^2-a^2)+2am(b-c)+2bc-b^2-c^2+r^2<0$

Published on 04 Apr 2026 - 11:30

195

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Prove that convex functions satisfy $(1+\lambda)f(y_0) - \lambda f(y_0-r)\le f(y_0+\lambda r) \le (1-\lambda)f(y_0) + \lambda f(y_0+r)$

Published on 25 Jun 2018 - 20:47

138

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Understanding a critical inequality in Emil Artin's derivation of $\Gamma(x) = \lim_{n\rightarrow\infty}\frac{n^xn!}{x(x+1)\cdots(x+n)}$

Published on 26 Jun 2018 - 1:20

222

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How to prove $2e^x>x^3+3x$ holds for all $x \in \mathbb{R}$?

Published on 25 Mar 2026 - 17:22

337

Views

Existence of unique solution to $x^2=c$ for $c$ positive

Published on 26 Mar 2026 - 1:08

90

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Can inequalities be proven by taking all variables to be equal?

Published on 25 Mar 2026 - 1:16

229

Views

Prove that if $x^3 + y^3 \geq a^3$ then $x^2 + y^2 > a^2$

Published on 25 Mar 2026 - 23:39

37

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Is $\forall x\exists y((y<x)\land (x<y+5))$ true if $x,y \in \mathbb N$ and $x,y\in \mathbb Z$?

Published on 26 Mar 2026 - 14:35

485

Views

Equivalence of two Inequalities (Four Point Condition)

Published on 01 Apr 2026 - 14:29

133

Views

Denominator in Jensen's inequality

Published on 27 Mar 2026 - 6:23

107

Views

On an inequality involving the radical of an integer and its greatest prime factor

Published on 25 Mar 2026 - 20:36

232

Views

An inequality involving the radical of an integer and its greatest prime factor

Published on 25 Mar 2026 - 23:39

55

Views

Number theory related question

Published on 27 Mar 2026 - 20:19

72

Views

Is this a typo?

Published on 05 Apr 2026 - 13:23

List Question

Why does the second term require $|x|\leq|y|$ not $|x|\leq y$?

Prove that $m^2(r^2-a^2)+2am(b-c)+2bc-b^2-c^2+r^2<0$

Prove that convex functions satisfy $(1+\lambda)f(y_0) - \lambda f(y_0-r)\le f(y_0+\lambda r) \le (1-\lambda)f(y_0) + \lambda f(y_0+r)$

Understanding a critical inequality in Emil Artin's derivation of $\Gamma(x) = \lim_{n\rightarrow\infty}\frac{n^xn!}{x(x+1)\cdots(x+n)}$

How to prove $2e^x>x^3+3x$ holds for all $x \in \mathbb{R}$?

Existence of unique solution to $x^2=c$ for $c$ positive

Can inequalities be proven by taking all variables to be equal?

Prove that if $x^3 + y^3 \geq a^3$ then $x^2 + y^2 > a^2$

Is $\forall x\exists y((y<x)\land (x<y+5))$ true if $x,y \in \mathbb N$ and $x,y\in \mathbb Z$?

Equivalence of two Inequalities (Four Point Condition)

Denominator in Jensen's inequality

On an inequality involving the radical of an integer and its greatest prime factor

An inequality involving the radical of an integer and its greatest prime factor

Number theory related question

Is this a typo?

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