List questions from equicontinuity | MathQA

Prove $(f_n) = (n(\exp(x/n)−1))$ is pointwise convergent, pointwise bounded and equicontinuous on $[0,1]$

Published on 16 Aug 2022 - 10:46

Equicontinuity is not an open condition

Published on 15 Sep 2022 - 2:50

Prove that $X$ is relatively compact in the space of continuous functions on $[-1,1]$

Published on 19 Sep 2022 - 19:15

A question related to a family of continuous functions

Published on 24 Feb 2026 - 1:07

A question related to a family of continuously differentiable functions

Published on 24 Feb 2026 - 1:07

If $\int_{-\infty}^{+\infty}|f_n(x)| + |f_n'(x)| + |f_n''(x)| \leq M$ then is $\{f_n\}$ equicontinuous and/or uniformly bounded?

Published on 08 Nov 2022 - 15:55

Uniform continuous, equicontinuity, and Banach-Steinhaus

Published on 16 Nov 2022 - 5:02

Equicontinuity of a set of functions: contrexemple

Published on 27 Nov 2022 - 20:27

Hölder Condition and equicontinuity

Published on 30 Dec 2022 - 6:30

Equicontinuity and uniformly convergent subsequences

Published on 24 Feb 2026 - 1:02