List questions from supremum-and-infimum

Published on 25 Apr 2016 - 11:43

44

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Supremum calcualtion, how do I get the answer

Published on 25 Apr 2016 - 19:07

692

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Let $A = (0,1]$. Then $\inf(A) = 0$

Published on 25 Apr 2016 - 21:00

94

Views

Proving $\sup A = -\inf(-A)$

Published on 27 Apr 2016 - 13:27

4.4k

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sup and inf of $\{\frac{(-1)^n}{n}, n\in \mathbb{N}\}$

Published on 27 Apr 2016 - 14:10

7k

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Showing that $\sup\{|f(x)-f(y)|, x,y\in X\}= \sup \ f - \inf \ f$

Published on 27 Apr 2016 - 22:09

835

Views

Finding min, max, inf, sup for $\frac{m*n}{4m^2+n^2}; m\in \mathbb{Z}, n \in \mathbb{N}$

Published on 28 Apr 2016 - 19:32

169

Views

How to properly find supremum of a function $f(x,y,z)$ on a cube $[0,1]^3$?

Published on 01 May 2016 - 15:46

8k

Views

Matrix norm inequality proof - does this use Cauchy-Schwarz?

Published on 02 May 2016 - 9:55

27

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Showing uniform convergence to origin in 3rd quadrant for $x(t)=\frac{1}{\frac{1}{x_0}-t}$ as $t\ \rightarrow \infty$

Published on 05 May 2016 - 0:46

40

Views

special matrix name (similar to cyclic matrix)

Published on 06 May 2016 - 1:49

299

Views

Inequality with supremum of a specific integral

Published on 09 May 2016 - 18:09

81

Views

Expanding a norm over a given space

Published on 13 May 2016 - 9:40

147

Views

Approximating $\inf\sup$

Published on 17 May 2016 - 12:32

64

Views

Infimum inequality comparing restrictions.

Published on 24 May 2016 - 13:36

List Question

$\sup\limits_{t>0}[\frac{g(t)}{\sup\limits_{t<u<\infty}g(u)}]\leq 1$

Supremum calcualtion, how do I get the answer

Let $A = (0,1]$. Then $\inf(A) = 0$

Proving $\sup A = -\inf(-A)$

sup and inf of $\{\frac{(-1)^n}{n}, n\in \mathbb{N}\}$

Showing that $\sup\{|f(x)-f(y)|, x,y\in X\}= \sup \ f - \inf \ f$

Finding min, max, inf, sup for $\frac{m*n}{4m^2+n^2}; m\in \mathbb{Z}, n \in \mathbb{N}$

How to properly find supremum of a function $f(x,y,z)$ on a cube $[0,1]^3$?

Matrix norm inequality proof - does this use Cauchy-Schwarz?

Showing uniform convergence to origin in 3rd quadrant for $x(t)=\frac{1}{\frac{1}{x_0}-t}$ as $t\ \rightarrow \infty$

special matrix name (similar to cyclic matrix)

Inequality with supremum of a specific integral

Expanding a norm over a given space

Approximating $\inf\sup$

Infimum inequality comparing restrictions.

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