List questions from supremum-and-infimum

Published on 29 Jun 2016 - 6:23

33

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If $\sup_n \frac{n}{|b_n|}<\infty$ then $\limsup_{t\to\infty} \frac{\# \{n\ge 1:|b_n|\le t\}}{t}<\infty$

Published on 29 Jun 2016 - 7:21

22

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functional type equation

Published on 03 Jul 2016 - 18:29

58

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Supremum, max, min, inf of $S=\bigcup_{n \in \mathbb N}\left[\frac{1}{2^n},8-\frac{1}{n}\right)$

Published on 04 Jul 2016 - 20:10

7.7k

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Inequalities related to infimum and supremum

Published on 07 Apr 2013 - 16:27

720

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Find $\sup \{x: x^2 + x< 1\}$

Published on 11 Apr 2013 - 18:56

1.1k

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Infimum and limit

Published on 13 Apr 2013 - 16:44

2.6k

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Show $\sup{A}-\inf{B}=\sup\{a-b:a\in A, b\in B\}$

Published on 18 Apr 2013 - 15:34

215

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finding infimum of maximum of two functions

Published on 19 Apr 2013 - 18:00

139

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infimum's basic properties in optimization problem

Published on 22 Apr 2013 - 9:22

123

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Question about the infimum of $|f(x)-x|$ , where $f(x)=x$, $x$ is a fixed point of the nonlinear equation.

Published on 03 Apr 2026 - 4:55

638

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An example of a function which satisfies $\sup_{y}\inf_{x}f(x,y)<\inf_{x}\sup_{y}f(x,y)$

Published on 27 Apr 2013 - 13:20

125

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Compute infimum

Published on 05 May 2013 - 9:29

268

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Finding the supremum of the following set

Published on 05 May 2013 - 12:51

32.8k

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Proving rigorously the supremum of a set

Published on 09 May 2013 - 16:28

List Question

Convergence to supremum using Squeeze Theorem and Limit Theorem?

If $\sup_n \frac{n}{|b_n|}<\infty$ then $\limsup_{t\to\infty} \frac{\# \{n\ge 1:|b_n|\le t\}}{t}<\infty$

functional type equation

Supremum, max, min, inf of $S=\bigcup_{n \in \mathbb N}\left[\frac{1}{2^n},8-\frac{1}{n}\right)$

Inequalities related to infimum and supremum

Find $\sup \{x: x^2 + x< 1\}$

Infimum and limit

Show $\sup{A}-\inf{B}=\sup\{a-b:a\in A, b\in B\}$

finding infimum of maximum of two functions

infimum's basic properties in optimization problem

Question about the infimum of $|f(x)-x|$ , where $f(x)=x$, $x$ is a fixed point of the nonlinear equation.

An example of a function which satisfies $\sup_{y}\inf_{x}f(x,y)<\inf_{x}\sup_{y}f(x,y)$

Compute infimum

Finding the supremum of the following set

Proving rigorously the supremum of a set

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