List questions from supremum-and-infimum

Published on 01 Oct 2016 - 21:22

306

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$A=\{\frac{n+(-1)^n}{2n}:n\in\Bbb N,n>1\}$; find and prove $\inf A$

Published on 02 Oct 2016 - 0:27

2k

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Supremum and Infimum absolute values

Published on 02 Oct 2016 - 21:28

318

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How to prove that following supremum is attained by the function.

Published on 03 Oct 2016 - 15:53

236

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How to calculate the Lipschitz constant(or Lipschitz norm) for $|x|$?

Published on 27 Mar 2026 - 18:15

26

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If $\sup_{t∈[0,\:t_0]}\left\|x^n_t-x_t\right\|_E\xrightarrow{n→∞}0$ for all $t_0≥0$, then $\sup_{t≥0}\left\|x^n_t-x_t\right\|_E\xrightarrow{n→∞}0$

Published on 05 Oct 2016 - 14:05

137

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Proving $x=\sup E$ where $E$ is the expansion of base 10 decimals

Published on 07 Oct 2016 - 0:19

508

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$\emptyset$ does not have a supremum.

Published on 09 Oct 2016 - 15:26

5k

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Convex function can be written as supremum of some affine functions

Published on 09 Oct 2016 - 16:02

89

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What's the superior limit and inferior limit of following sets

Published on 09 Oct 2016 - 20:54

5k

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Supremum of closed sets

Published on 09 Oct 2016 - 23:40

394

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Proving $ \sup (E_1 \cup E_2) = \max \{ \sup E_1, \sup E_2 \}$

Published on 11 Oct 2016 - 2:25

754

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If $\lim\sup$ of $\{s_n\}$ equals $M$, prove that the $\lim\sup$ of any subsequence $\{s_{n_k}\}$ is $\le M$

Published on 29 Mar 2026 - 5:58

74

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How do you prove the infimum and supremum?

Published on 17 Oct 2016 - 20:48

322

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Finding the supremum (sup S) and infimum (inf S) of a set

Published on 18 Oct 2016 - 16:15

List Question

Supremum of rounded function

$A=\{\frac{n+(-1)^n}{2n}:n\in\Bbb N,n>1\}$; find and prove $\inf A$

Supremum and Infimum absolute values

How to prove that following supremum is attained by the function.

How to calculate the Lipschitz constant(or Lipschitz norm) for $|x|$?

If $\sup_{t∈[0,\:t_0]}\left\|x^n_t-x_t\right\|_E\xrightarrow{n→∞}0$ for all $t_0≥0$, then $\sup_{t≥0}\left\|x^n_t-x_t\right\|_E\xrightarrow{n→∞}0$

Proving $x=\sup E$ where $E$ is the expansion of base 10 decimals

$\emptyset$ does not have a supremum.

Convex function can be written as supremum of some affine functions

What's the superior limit and inferior limit of following sets

Supremum of closed sets

Proving $ \sup (E_1 \cup E_2) = \max \{ \sup E_1, \sup E_2 \}$

If $\lim\sup$ of $\{s_n\}$ equals $M$, prove that the $\lim\sup$ of any subsequence $\{s_{n_k}\}$ is $\le M$

How do you prove the infimum and supremum?

Finding the supremum (sup S) and infimum (inf S) of a set

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