List questions from supremum-and-infimum

Published on 11 Apr 2017 - 3:12

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supremum of expectation $\le$ expectation of supremum?

Published on 12 Apr 2017 - 4:28

569

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Infimum of recursive sequence $x_1 = 8$ and $x_{n+1} = \frac12 x_n + 2$

Published on 12 Apr 2017 - 12:37

137

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Is $\| f \|_{\infty} = \| f \|_D$?

Published on 12 Apr 2017 - 13:36

138

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Find sequence in set S that converges to supremum of S.

Published on 12 Apr 2017 - 13:42

150

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Prove that $(D(K), \| \cdot\|_D)$ is a Banach space

Published on 13 Apr 2017 - 1:00

3.7k

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Let $S$= Sup $M$. Prove there exists a sequence that converges to $S$.

Published on 13 Apr 2017 - 1:52

34

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How to show a set in $ \Bbb C $ is open?

Published on 14 Apr 2017 - 4:14

211

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Show that $U(f - Ug) = U( Uf - Ug) \leq U(f-g).$

Published on 14 Apr 2017 - 15:30

25

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What is $\sup_{s \in (y,1)} (y-s)^{m} \cdot \frac{m!}{s^{m+1}}$?

Published on 15 Apr 2017 - 10:21

36

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How to prove this real analysis problem?

Published on 15 Apr 2017 - 8:40

447

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Prove that $Uf = f$ if and only if $f$ is upper semicontinuous

Published on 23 Feb 2026 - 16:42

269

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Supremum and infimum of sets

Published on 16 Apr 2017 - 17:14

115

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Set theory: Supremum and infimum sets proof

Published on 19 Apr 2017 - 14:24

37

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Prove: If $f, g$ real, bounded on $[a,b]$ than for any partition $\pi,$ $U(f+g, \pi) \leq U(f\pi) + U(g, \pi)$

Published on 20 Apr 2017 - 22:16

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Show that upper semicontinuous envelope satisfies triangle inequality

supremum of expectation $\le$ expectation of supremum?

Infimum of recursive sequence $x_1 = 8$ and $x_{n+1} = \frac12 x_n + 2$

Is $\| f \|_{\infty} = \| f \|_D$?

Find sequence in set S that converges to supremum of S.

Prove that $(D(K), \| \cdot\|_D)$ is a Banach space

Let $S$= Sup $M$. Prove there exists a sequence that converges to $S$.

How to show a set in $ \Bbb C $ is open?

Show that $U(f - Ug) = U( Uf - Ug) \leq U(f-g).$

What is $\sup_{s \in (y,1)} (y-s)^{m} \cdot \frac{m!}{s^{m+1}}$?

How to prove this real analysis problem?

Prove that $Uf = f$ if and only if $f$ is upper semicontinuous

Supremum and infimum of sets

Set theory: Supremum and infimum sets proof

Prove: If $f, g$ real, bounded on $[a,b]$ than for any partition $\pi,$ $U(f+g, \pi) \leq U(f\pi) + U(g, \pi)$

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