List questions from monotone-functions

Published on 13 Jun 2016 - 18:35

103

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An increasing function defined on a interval that is only continuous outside a countable set

Published on 15 Jun 2016 - 20:28

735

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Complete basis for space of summable monotonically decreasing sequences

Published on 16 Jun 2016 - 10:09

62

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Proving monotonic decreasing of general term: $ \sum_{n=2}^\infty (-1)^{n+1}\dfrac{n^2-1}{n^3-1} $

Published on 19 Jun 2016 - 7:58

83

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How to show the sequence is monotone

Published on 22 Jun 2016 - 0:48

2.4k

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Strongly monotone and cocoercive

Published on 24 Jun 2016 - 17:28

66

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Prove: Let $a,b\in R$ such that $a\lt b$, and $f:[a,b]\rightarrow R$ be monotonic, then $\frac{1}{f}$ is also monotonic

Published on 26 Jun 2016 - 15:53

36

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For what functions $f$ is $x^{\sf T}Lf(x) \geq 0$?

Published on 28 Mar 2026 - 11:33

50

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Function with unique fixed point of all orders

Published on 30 Jun 2016 - 17:20

1.1k

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What's the monotony of this function?

Published on 30 Jun 2016 - 22:22

1.2k

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Continuous function with non-negative derivative a.e. implies non-decreasing?

Published on 01 Jul 2016 - 15:58

154

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When does this two-variable function change signum?

Published on 05 Jul 2016 - 11:46

2.7k

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Behavior of the Nth root of N?

Published on 14 Jul 2013 - 20:26

276

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Left-continuous function that agrees with BV function almost everywhere

Published on 25 Mar 2026 - 11:25

3k

Views

Show that if $E\subset\mathbb{R}$ is a measurable set, so $f:E\rightarrow \mathbb{R}$ is a measurable function.

Published on 03 Feb 2014 - 15:05

List Question

Monotone Convergence theorem for decreasing sequence

An increasing function defined on a interval that is only continuous outside a countable set

Complete basis for space of summable monotonically decreasing sequences

Proving monotonic decreasing of general term: $ \sum_{n=2}^\infty (-1)^{n+1}\dfrac{n^2-1}{n^3-1} $

How to show the sequence is monotone

Strongly monotone and cocoercive

Prove: Let $a,b\in R$ such that $a\lt b$, and $f:[a,b]\rightarrow R$ be monotonic, then $\frac{1}{f}$ is also monotonic

For what functions $f$ is $x^{\sf T}Lf(x) \geq 0$?

Function with unique fixed point of all orders

What's the monotony of this function?

Continuous function with non-negative derivative a.e. implies non-decreasing?

When does this two-variable function change signum?

Behavior of the Nth root of N?

Left-continuous function that agrees with BV function almost everywhere

Show that if $E\subset\mathbb{R}$ is a measurable set, so $f:E\rightarrow \mathbb{R}$ is a measurable function.

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