List questions from inequality

Published on 10 Apr 2026 - 3:56

100

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Inequality using Jensen

Published on 10 Apr 2026 - 21:33

403

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Monotone Increasing Concave Function

Published on 11 Apr 2026 - 17:08

56

Views

Equality without calculator

Published on 10 Apr 2026 - 15:49

39

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Show that $x_n = \left(1+{x\over n}\right)^{n+k}$ is decreasing for $0<x<k$; $n, k\in \mathbb N$

Published on 25 Mar 2026 - 22:05

183

Views

Inequality involving convolutions

Published on 12 Apr 2026 - 3:14

129

Views

Trace inequality for a symmetric matrix

Published on 10 Apr 2026 - 4:04

71

Views

Inequality from proof of theorem on stochastic processes . Theorem from book by Skorokhod Theory of stochastic processes

Published on 11 Apr 2026 - 0:02

427

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If $u_1=4$ and $u_{n+1}=\frac{3u_n+5}{u_n-1}$, then $u_n$ approaches $a=5$ as $n\to\infty$. Show that, if $u_n>a$, then $u_{n+1}<u_n$.

Published on 29 Mar 2026 - 18:37

94

Views

Inequality on Hilbert Space

Published on 28 Mar 2026 - 4:52

388

Views

If $x>\sqrt{xy}>y$, then $x>y>0$.

Published on 26 Mar 2026 - 22:53

46

Views

Inequality problem (may be) involving means

Published on 11 Apr 2026 - 0:14

61

Views

Show that for $a \ne 1$, $a > 0$ the sequence $\{x_n\} = n(1-a^{1\over n})$ is increasing

Published on 25 Mar 2026 - 16:03

299

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Show that $a^2b^2+c^2d^2 -2abcd \geq 0 $ with $a,b,c,d \in \mathbb{R}$

Published on 10 Nov 2018 - 14:18

226

Views

Prove $\frac{x+1}{x-1}\ln x \geq 2$

Published on 10 Nov 2018 - 16:57

List Question

How to show the inequality with the matrix fraction?

Inequality using Jensen

Monotone Increasing Concave Function

Equality without calculator

Show that $x_n = \left(1+{x\over n}\right)^{n+k}$ is decreasing for $0<x<k$; $n, k\in \mathbb N$

Inequality involving convolutions

Trace inequality for a symmetric matrix

Inequality from proof of theorem on stochastic processes . Theorem from book by Skorokhod Theory of stochastic processes

If $u_1=4$ and $u_{n+1}=\frac{3u_n+5}{u_n-1}$, then $u_n$ approaches $a=5$ as $n\to\infty$. Show that, if $u_n>a$, then $u_{n+1}<u_n$.

Inequality on Hilbert Space

If $x>\sqrt{xy}>y$, then $x>y>0$.

Inequality problem (may be) involving means

Show that for $a \ne 1$, $a > 0$ the sequence $\{x_n\} = n(1-a^{1\over n})$ is increasing

Show that $a^2b^2+c^2d^2 -2abcd \geq 0 $ with $a,b,c,d \in \mathbb{R}$

Prove $\frac{x+1}{x-1}\ln x \geq 2$

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