List questions from monotone-functions

Published on 13 Feb 2019 - 14:17

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Is ‎$‎f‎$‎ ‎monotone ‎when ‎$‎f‎$ ‎is ‎concave?‎

Published on 14 Feb 2019 - 8:36

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Does $f(x_n^+)=\inf\limits_{x_n<t< b}f(t)=\sum\limits_{x_i\leq x_n}c_i$ hold? Remark 4.31 in "Principles of Mathematical Analysis" by Walter Rudin.

Published on 15 Feb 2019 - 7:23

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How to show this function is increasing both intuitively and using formula

Published on 17 Feb 2019 - 2:26

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If $f(t)$ is continuous for $t$ $\in [0,1]$, $f' > 0$ and $f''(t) > 0$ for $t \in (0,1)$, do we have that $f'(t)$ is strictly increasing on $[0,1]$.

Published on 18 Feb 2019 - 8:26

68

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If $\mathbb E[X]$ is increasing in $\theta$, is $\mathbb E[X^2]$?

Published on 20 Feb 2019 - 12:05

101

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How to show that one not monotonous f doesn't have fixpoints?

Published on 25 Mar 2026 - 15:17

65

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One-sided limits of a monotonic function

Published on 26 Feb 2019 - 4:33

2.8k

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When can we use derivative test to identify injective function?

Published on 27 Feb 2019 - 17:47

112

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Boundedness of derivative of bounded, monotonic, continuously differentiable function

Published on 28 Feb 2019 - 10:51

133

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Estimation of fractional expression

Published on 02 Mar 2019 - 9:53

96

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If $f:[0,t]\to[0,t]$ is continuous and increasing, why can we conclude $f(0)=0$ and $f(t)=t$?

Published on 05 Mar 2019 - 13:35

161

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When is a positive matrix a monotone operator?

Published on 05 Mar 2019 - 20:20

268

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Proving concavity of derivative

Published on 07 Mar 2019 - 10:10

57

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Proving a function is monotone

Published on 08 Mar 2019 - 11:25

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Construct a new function

Is ‎$‎f‎$‎ ‎monotone ‎when ‎$‎f‎$ ‎is ‎concave?‎

Does $f(x_n^+)=\inf\limits_{x_n<t< b}f(t)=\sum\limits_{x_i\leq x_n}c_i$ hold? Remark 4.31 in "Principles of Mathematical Analysis" by Walter Rudin.

How to show this function is increasing both intuitively and using formula

If $f(t)$ is continuous for $t$ $\in [0,1]$, $f' > 0$ and $f''(t) > 0$ for $t \in (0,1)$, do we have that $f'(t)$ is strictly increasing on $[0,1]$.

If $\mathbb E[X]$ is increasing in $\theta$, is $\mathbb E[X^2]$?

How to show that one not monotonous f doesn't have fixpoints?

One-sided limits of a monotonic function

When can we use derivative test to identify injective function?

Boundedness of derivative of bounded, monotonic, continuously differentiable function

Estimation of fractional expression

If $f:[0,t]\to[0,t]$ is continuous and increasing, why can we conclude $f(0)=0$ and $f(t)=t$?

When is a positive matrix a monotone operator?

Proving concavity of derivative

Proving a function is monotone

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