List questions from monotone-functions

Published on 22 Mar 2026 - 20:42

313

Views

If $f:R→R, g:R→R$ are continuous bijective, then prove/disprove $h(x)=f(x)−g(x)$ is a bijection function.

Published on 02 Jun 2018 - 17:54

60

Views

Prove: If a continuous function is monotonic in $(a, b) $ then it is monotonic in $[a, b] $

Published on 04 Jun 2018 - 8:49

497

Views

Why $g$ is not monotonic in any neighborhood of $0?$

Published on 06 Jun 2018 - 13:32

3.6k

Views

Convex + Monotone =? Convex

Published on 07 Jun 2018 - 10:35

446

Views

Proving inverse function inequalities.

Published on 09 Jun 2018 - 4:11

230

Views

Let be $f:\mathbb R \to \mathbb R$ be a function satisfying $f(x+y)=f(x).f(y)$. Which one of the following are correct?

Published on 09 Jun 2018 - 16:52

18

Views

Monotonicity finding based on given releationships

Published on 23 Mar 2026 - 7:40

904

Views

integral of monotonic increasing function

Published on 11 Jun 2018 - 15:29

273

Views

Example of a continuous, atomless and strictly increasing density over an unbounded support

Published on 13 Jun 2018 - 18:54

47

Views

Does $f(x)=x(2^{\frac{1}{x}}-1)$ decrease with $x\in[0,\infty)$?

Published on 14 Jun 2018 - 2:41

67

Views

Positive semi-definiteness of the Jacobian of the partial derivatives of distinct convex functions

Published on 25 Mar 2026 - 1:18

23

Views

Probability and locally monotone functions

Published on 15 Jun 2018 - 3:13

51

Views

Correction needed: Sequences

Published on 15 Jun 2018 - 20:45

858

Views

Monotonicity at a Point - How is it checked?

Published on 19 Jun 2018 - 6:42

List Question

Nonmonotone functions in compact convex space

If $f:R→R, g:R→R$ are continuous bijective, then prove/disprove $h(x)=f(x)−g(x)$ is a bijection function.

Prove: If a continuous function is monotonic in $(a, b) $ then it is monotonic in $[a, b] $

Why $g$ is not monotonic in any neighborhood of $0?$

Convex + Monotone =? Convex

Proving inverse function inequalities.

Let be $f:\mathbb R \to \mathbb R$ be a function satisfying $f(x+y)=f(x).f(y)$. Which one of the following are correct?

Monotonicity finding based on given releationships

integral of monotonic increasing function

Example of a continuous, atomless and strictly increasing density over an unbounded support

Does $f(x)=x(2^{\frac{1}{x}}-1)$ decrease with $x\in[0,\infty)$?

Positive semi-definiteness of the Jacobian of the partial derivatives of distinct convex functions

Probability and locally monotone functions

Correction needed: Sequences

Monotonicity at a Point - How is it checked?

Trending Questions

Popular # Hahtags

Popular Questions