List questions from uniform-convergence

Published on 20 May 2018 - 16:13

109

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Uniform convergence of functional series on interval

Published on 20 May 2018 - 20:17

241

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Integral Metric on $C([0,1])$

Published on 25 Mar 2026 - 10:58

60

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Question about different topologies on spaces of continuous functions.

Published on 21 May 2018 - 17:35

586

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Uniform continuity of series

Published on 26 Mar 2026 - 4:52

65

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Showing $\dfrac{e^{-nx}}{n} < \epsilon$

Published on 24 May 2018 - 17:14

69

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uniform convergence of $g_n(x)=\frac{x}{n^2}e^{-\frac{x}{n}}$

Published on 25 May 2018 - 21:04

602

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Find an example of a sequence of functions $\{f_n\}$ and $\{g_n\}$

Published on 26 May 2018 - 6:07

777

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There exists $\{f_n\}$ as above that converges to $0$ uniformly on $[0,1]$.

Published on 23 Mar 2026 - 18:34

495

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Show that $f_n(x)=|x||x|^{1/n}$ is differentiable at $x\in [-1,1].$

Published on 27 May 2018 - 4:14

1.3k

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Show that $\{f_n\}$ converges uniformly to some continuously differentiable function $f:[a,b]\to R.$

Published on 27 May 2018 - 6:18

24

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Determine whether the functional series is uniformly convergent

Published on 27 May 2018 - 12:05

44

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Determine whether the functional sequence is uniformly convergent.

Published on 24 Mar 2026 - 4:12

253

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the convergence of $\int_0^\infty t^{2k}e^{-xt^2}dt $ being uniform on $[\delta,\infty)$ for $\delta\gt 0$

Published on 27 Mar 2026 - 22:15

200

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Continuity and Uniform Convergence of $f_n$ Implies Uniform Convergence of $f_n^2$

Published on 28 May 2018 - 2:38

List Question

How to show the following series converges?

Uniform convergence of functional series on interval

Integral Metric on $C([0,1])$

Question about different topologies on spaces of continuous functions.

Uniform continuity of series

Showing $\dfrac{e^{-nx}}{n} < \epsilon$

uniform convergence of $g_n(x)=\frac{x}{n^2}e^{-\frac{x}{n}}$

Find an example of a sequence of functions $\{f_n\}$ and $\{g_n\}$

There exists $\{f_n\}$ as above that converges to $0$ uniformly on $[0,1]$.

Show that $f_n(x)=|x||x|^{1/n}$ is differentiable at $x\in [-1,1].$

Show that $\{f_n\}$ converges uniformly to some continuously differentiable function $f:[a,b]\to R.$

Determine whether the functional series is uniformly convergent

Determine whether the functional sequence is uniformly convergent.

the convergence of $\int_0^\infty t^{2k}e^{-xt^2}dt $ being uniform on $[\delta,\infty)$ for $\delta\gt 0$

Continuity and Uniform Convergence of $f_n$ Implies Uniform Convergence of $f_n^2$

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