List questions from monotone-functions

Published on 18 Aug 2017 - 10:15

432

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Monotonicity with Euclidean distance

Published on 21 Aug 2017 - 18:33

65

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If f is continuous on (a,b) and f′(x) exists and satisfies f′(x)>0 except at one point x0∈(a,b), then f is increasing in (a,b).

Published on 23 Aug 2017 - 6:30

86

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Find $\lim\limits_{p\to+\infty}x_p.$ (a problem in mathematical analysis)

Published on 24 Aug 2017 - 14:21

516

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If $f$ and $g$ are monotonically increasing functions, such that $f(g(n))=O(n)$ and $f(n)=Ω(n)$ then $g(n)=O(n)$

Published on 25 Aug 2017 - 7:28

8.9k

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Why are there no continuous one-to-one functions from (0, 1) onto [0, 1]?

Published on 26 Aug 2017 - 22:35

68

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How I can prove the function $f(t)$ is increasing (decreasing) in $t$?

Published on 30 Aug 2017 - 9:50

121

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How do I show that this function is monotonically decreasing?

Published on 31 Aug 2017 - 19:56

81

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Relation between two types of pseudomonotone function

Published on 23 Feb 2026 - 21:19

46

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Monotonicity and limit of sequence of integrals

Published on 17 Sep 2017 - 2:24

295

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Proof that a sum is monotonically decreasing

Published on 19 Sep 2017 - 13:11

75

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Monotonicity of a sequence $\frac{(\mu/2)^n}{n!}K_{n-\frac{1}{2}}(\mu)$

Published on 21 Sep 2017 - 9:37

816

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Characteristics of a monotonic function on a closed interval

Published on 25 Sep 2017 - 9:26

46

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Prove that $f(x)=\sum_{i=0}^{M-1}(-1)^i\binom{M}{i+1}\frac{1}{1+ix\Delta}$ increases with $x$?

Published on 26 Sep 2017 - 3:07

95

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Determine this monotonic function

Published on 26 Sep 2017 - 19:35

List Question

Find range of $a$ if $f(x)$ is increasing $\forall $ $x \in \mathbb{R}$

Monotonicity with Euclidean distance

If f is continuous on (a,b) and f′(x) exists and satisfies f′(x)>0 except at one point x0∈(a,b), then f is increasing in (a,b).

Find $\lim\limits_{p\to+\infty}x_p.$ (a problem in mathematical analysis)

If $f$ and $g$ are monotonically increasing functions, such that $f(g(n))=O(n)$ and $f(n)=Ω(n)$ then $g(n)=O(n)$

Why are there no continuous one-to-one functions from (0, 1) onto [0, 1]?

How I can prove the function $f(t)$ is increasing (decreasing) in $t$?

How do I show that this function is monotonically decreasing?

Relation between two types of pseudomonotone function

Monotonicity and limit of sequence of integrals

Proof that a sum is monotonically decreasing

Monotonicity of a sequence $\frac{(\mu/2)^n}{n!}K_{n-\frac{1}{2}}(\mu)$

Characteristics of a monotonic function on a closed interval

Prove that $f(x)=\sum_{i=0}^{M-1}(-1)^i\binom{M}{i+1}\frac{1}{1+ix\Delta}$ increases with $x$?

Determine this monotonic function

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