List questions from monotone-functions

Published on 09 Oct 2020 - 20:03

58

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$f: [a, b] \mapsto [a,b]$, $f$ is monotonically increasing $\Rightarrow \exists~ x \in (a, b)$ such that $x = f(x)$

Published on 10 Oct 2020 - 8:32

364

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If $f(x)$ is a continuous and injective function, then which of the following may be correct.

Published on 10 Oct 2020 - 11:13

34

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Properties of conditional distributions

Published on 13 Oct 2020 - 17:00

131

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prove of strict monotonicity when $f'(x)\neq0$

Published on 14 Oct 2020 - 1:44

42

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monotonicity of $\frac{f(x)}{x}$

Published on 15 Oct 2020 - 21:27

131

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Show that monotone subsequences have the same limit

Published on 17 Oct 2020 - 17:10

3k

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To show a sequence is bounded, monotone and to find its limit

Published on 18 Oct 2020 - 15:14

152

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when will limit at infinity exist for monotonic function?

Published on 19 Oct 2020 - 12:00

31

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Monotonicity of function with nonnegative super-differential (or viscosity solution-like)

Published on 23 Feb 2026 - 6:00

755

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Proof: Brownian motion has no intervals of monotonicity

Published on 21 Oct 2020 - 1:23

68

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Concluding that a sum is monotone increasing in an argument

Published on 21 Oct 2020 - 23:20

49

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How to infer if $\frac{n x^s}{1+nx}$ increasing?

Published on 22 Oct 2020 - 14:06

430

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Finding a monotone subsequence in $\{(-1)^nn\}$.

Published on 25 Oct 2020 - 1:26

57

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$f(x)$ is monotonically increasing function for all real $x$, $f’’(x)>0$ and $f^{-1}$ exists, then prove that [CONT]...

Published on 28 Oct 2020 - 8:51

List Question

Continuous monotone functions on $[a,b]$ are homeomorphism

$f: [a, b] \mapsto [a,b]$, $f$ is monotonically increasing $\Rightarrow \exists~ x \in (a, b)$ such that $x = f(x)$

If $f(x)$ is a continuous and injective function, then which of the following may be correct.

Properties of conditional distributions

prove of strict monotonicity when $f'(x)\neq0$

monotonicity of $\frac{f(x)}{x}$

Show that monotone subsequences have the same limit

To show a sequence is bounded, monotone and to find its limit

when will limit at infinity exist for monotonic function?

Monotonicity of function with nonnegative super-differential (or viscosity solution-like)

Proof: Brownian motion has no intervals of monotonicity

Concluding that a sum is monotone increasing in an argument

How to infer if $\frac{n x^s}{1+nx}$ increasing?

Finding a monotone subsequence in $\{(-1)^nn\}$.

$f(x)$ is monotonically increasing function for all real $x$, $f’’(x)>0$ and $f^{-1}$ exists, then prove that [CONT]...

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