List questions from monotone-functions

357

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f left continuous & strictly increasing; B Borel $\implies$ f(B) Borel (or at least Lebesgue Measurable)?

Published on 30 Apr 2016 - 12:55

586

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monotonic decrising p norm

Published on 03 May 2016 - 18:21

36

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For a nondecreasing map, if $\xi(a) < \eta(a)$, then $\xi(t) < \eta(t)$ for all $t \in [a,b]$.

Published on 05 May 2016 - 3:07

173

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Interpolating discrete data with completely monotone analytic functions

Published on 27 Mar 2026 - 17:51

630

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A smooth nowhere analytic function such that all derivatives are monotone

Published on 27 Mar 2026 - 19:31

685

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Proving a function is monotonic decreasing

Published on 13 May 2016 - 23:00

1.1k

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Discontinuities of a monotonic function (Baby Rudin)

Published on 15 May 2016 - 9:17

26

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Sign of a quantity involving the Lambert function

Published on 27 Mar 2026 - 16:27

83

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Prove Two Functions are Simultaneously Continuous

Published on 21 May 2016 - 17:59

315

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Show that $\sinh(x)$ is strictly monotonic.

Published on 22 May 2016 - 17:45

202

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Monotone Convergence Theorem in Measure Theory.

Published on 23 May 2016 - 11:30

110

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If $f \circ f$ continuous prove $f$ continuous

Published on 30 May 2016 - 16:57

2.7k

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Prove $\lim \sup f (x_n) = f(\lim \sup (x_n)) $ and same for $\inf$

Published on 04 Jun 2016 - 16:30

40

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How to prove a property of a function using the monotonicty of its integrals?

Published on 09 Jun 2016 - 16:25

2.4k

Views

prove that a function is monotonically increasing

Published on 10 Jun 2016 - 11:11

List Question

f left continuous & strictly increasing; B Borel $\implies$ f(B) Borel (or at least Lebesgue Measurable)?

monotonic decrising p norm

For a nondecreasing map, if $\xi(a) < \eta(a)$, then $\xi(t) < \eta(t)$ for all $t \in [a,b]$.

Interpolating discrete data with completely monotone analytic functions

A smooth nowhere analytic function such that all derivatives are monotone

Proving a function is monotonic decreasing

Discontinuities of a monotonic function (Baby Rudin)

Sign of a quantity involving the Lambert function

Prove Two Functions are Simultaneously Continuous

Show that $\sinh(x)$ is strictly monotonic.

Monotone Convergence Theorem in Measure Theory.

If $f \circ f$ continuous prove $f$ continuous

Prove $\lim \sup f (x_n) = f(\lim \sup (x_n)) $ and same for $\inf$

How to prove a property of a function using the monotonicty of its integrals?

prove that a function is monotonically increasing

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