List questions from supremum-and-infimum

Published on 10 Dec 2014 - 23:51

161

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"Greatest lower bound function"

Published on 11 Dec 2014 - 19:53

51

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On the Limiting Behavior of Sequences: Limit Supremums

Published on 13 Dec 2014 - 22:09

330

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If the supremum is finite, then the value is attained.

Published on 26 Mar 2026 - 0:53

176

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Supremum of a sine integral

Published on 14 Dec 2014 - 17:26

262

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If $\sup A = 5$ and $B = \left\{ 3a \mid a \in A \right\}$ then $\sup B = 15$

Published on 15 Dec 2014 - 14:17

684

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Norm for a set of vectors

Published on 16 Dec 2014 - 14:11

1.6k

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The limit of upper bounds is also an upper bound

Published on 18 Dec 2014 - 1:36

283

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how to add supremums

Published on 18 Dec 2014 - 11:58

84

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Finding points that satisfy $f(a) = \sup f(x)$

Published on 21 Dec 2014 - 2:46

80

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2 question about supremum of subset and a sequence that converge to it.

Published on 21 Dec 2014 - 8:45

91

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Does $\liminf_{n\to \infty} -a_{n}= -\limsup_{n\to \infty}a_{n}$?

Published on 21 Dec 2014 - 10:52

15.5k

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Least Upper Bound Property Implies Greatest Lower Bound Property

Published on 21 Dec 2014 - 20:58

2.8k

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$infA\leq SupA$

Published on 23 Dec 2014 - 10:41

3.1k

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For $B=\{|x-y|: x,y\in A\}$, show that $\sup B = \sup A - \inf A$ and find $\inf B$

Published on 30 Dec 2014 - 13:59

List Question

How to find infimum and supremum

"Greatest lower bound function"

On the Limiting Behavior of Sequences: Limit Supremums

If the supremum is finite, then the value is attained.

Supremum of a sine integral

If $\sup A = 5$ and $B = \left\{ 3a \mid a \in A \right\}$ then $\sup B = 15$

Norm for a set of vectors

The limit of upper bounds is also an upper bound

how to add supremums

Finding points that satisfy $f(a) = \sup f(x)$

2 question about supremum of subset and a sequence that converge to it.

Does $\liminf_{n\to \infty} -a_{n}= -\limsup_{n\to \infty}a_{n}$?

Least Upper Bound Property Implies Greatest Lower Bound Property

$infA\leq SupA$

For $B=\{|x-y|: x,y\in A\}$, show that $\sup B = \sup A - \inf A$ and find $\inf B$

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