List questions from supremum-and-infimum

Published on 12 Oct 2019 - 18:14

573

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Find supremum(S), infimum(S), max(s), min(S)

Published on 13 Oct 2019 - 12:14

56

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When is is true that $\frac{X_n}{n}\rightarrow -N\implies \sup_\limits{n\ge0}X_n<\infty$?

Published on 13 Oct 2019 - 18:36

33

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bound set of reals

Published on 28 Mar 2026 - 10:01

568

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Proof of $\|P\| \leq \|I-P\|$ for L2 norm in Hilbert space when $P$ is a projection

Published on 16 Oct 2019 - 23:38

48

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Supremum norm of a certain function in $C_{0}(\Omega)$

Published on 17 Oct 2019 - 16:57

681

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find sup of $\frac m{m+n}$

Published on 17 Oct 2019 - 23:04

37

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Given $f : \mathbb{R} \to (0,\infty)$ is continuous and $f(x)\to 0$ as $ x\to \pm \infty$, it attains its supremum

Published on 18 Oct 2019 - 4:31

114

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How does one calculate the norm $||f_n||_{\infty} = sup_{x \in [0,1]} |f_n(x)|$?

Published on 18 Oct 2019 - 5:30

76

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prove $\inf \frac{1}{1+n}$ is zero

Published on 18 Oct 2019 - 11:25

109

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Prove that $\max_{x \in X} \inf _{y \in Y^{\prime}} g(x, y)<v < \inf _{y \in Y^{\prime} \sup_{x \in X}} g(x, y)$

Published on 19 Oct 2019 - 23:34

131

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If $\lim\limits_{h\to 0^+}\frac{f(x+h)-f(x)}{h}=0$ for all $x\in I$, then $f$ is constant.

Published on 20 Oct 2019 - 0:08

735

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Convex function as supremum of countably many affine functions

Published on 20 Oct 2019 - 0:09

75

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Infimum of $B = \{ -x \mid x \in A \}$

Published on 20 Oct 2019 - 9:14

309

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Understanding $sup E[X_n]$ and $E[\sup X_n]$ with an example

Published on 20 Oct 2019 - 11:27

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Is this true :$-3\leq x \leq5, -2\leq y\leq -1 \implies -1\leq x-y\leq 6$?

Find supremum(S), infimum(S), max(s), min(S)

When is is true that $\frac{X_n}{n}\rightarrow -N\implies \sup_\limits{n\ge0}X_n<\infty$?

bound set of reals

Proof of $\|P\| \leq \|I-P\|$ for L2 norm in Hilbert space when $P$ is a projection

Supremum norm of a certain function in $C_{0}(\Omega)$

find sup of $\frac m{m+n}$

Given $f : \mathbb{R} \to (0,\infty)$ is continuous and $f(x)\to 0$ as $ x\to \pm \infty$, it attains its supremum

How does one calculate the norm $||f_n||_{\infty} = sup_{x \in [0,1]} |f_n(x)|$?

prove $\inf \frac{1}{1+n}$ is zero

Prove that $\max_{x \in X} \inf _{y \in Y^{\prime}} g(x, y)<v < \inf _{y \in Y^{\prime} \sup_{x \in X}} g(x, y)$

If $\lim\limits_{h\to 0^+}\frac{f(x+h)-f(x)}{h}=0$ for all $x\in I$, then $f$ is constant.

Convex function as supremum of countably many affine functions

Infimum of $B = \{ -x \mid x \in A \}$

Understanding $sup E[X_n]$ and $E[\sup X_n]$ with an example

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