List questions from uniform-convergence

Published on 10 Nov 2015 - 17:40

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Sequence of functions converges to a uniformly continuous function

Published on 01 Apr 2026 - 14:21

981

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How to fix a proof of Dini's Lemma

Published on 01 Apr 2026 - 14:30

11.4k

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Sup Norm and Uniform Convergence

Published on 12 Apr 2026 - 17:29

1.3k

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Is $C^1([a,b])$ with sup norm a complete metric space?

Published on 11 Apr 2026 - 10:47

154

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Uniform convergence of $\sum_{n=1}^{\infty}x^{n}/n^{2}$

Published on 16 Nov 2015 - 9:30

1k

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Power series differentiability at endpoints

Published on 16 Nov 2015 - 10:27

68

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Check that $f(x)=\sum_{n=1}^{\infty}x^2(1-x^2)^{n-1}$ is continuous or not.

Published on 01 Apr 2026 - 14:30

58

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Uniform convergence of a particular series

Published on 13 Apr 2026 - 0:29

55

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Does Pointwise convergence imply $\int_a^b (f_n(t) - f(t))^2 \, \mathrm d t \to 0$

Published on 20 Nov 2015 - 5:05

331

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Pointwise convergence in $C(K)$ where $K$ is compact hausdorff

Published on 13 Apr 2026 - 6:11

59

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Compute the limit of the sequence of functions, determine if $f(x)$ converges and show that $f_n(x)$ does not converge uniformly on R

Published on 20 Nov 2015 - 14:44

882

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Uniform convergence of Empirical Moment Generating Function

Published on 29 Mar 2026 - 12:25

125

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About the uniform convergence of a function sequence.

Published on 12 Apr 2026 - 3:10

134

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Let $\{a_n\}$ be decreasing and $\geq 0$. Let $0<\varepsilon<1/2$. Prove $\sum a_n\sin(2\pi nx)$ is unif. converg. in $[\epsilon, 1-\epsilon]$.

Published on 21 Nov 2015 - 15:50

List Question

e/3 argument? Uniform convergence from a topoloical space to a metric space

Sequence of functions converges to a uniformly continuous function

How to fix a proof of Dini's Lemma

Sup Norm and Uniform Convergence

Is $C^1([a,b])$ with sup norm a complete metric space?

Uniform convergence of $\sum_{n=1}^{\infty}x^{n}/n^{2}$

Power series differentiability at endpoints

Check that $f(x)=\sum_{n=1}^{\infty}x^2(1-x^2)^{n-1}$ is continuous or not.

Uniform convergence of a particular series

Does Pointwise convergence imply $\int_a^b (f_n(t) - f(t))^2 \, \mathrm d t \to 0$

Pointwise convergence in $C(K)$ where $K$ is compact hausdorff

Compute the limit of the sequence of functions, determine if $f(x)$ converges and show that $f_n(x)$ does not converge uniformly on R

Uniform convergence of Empirical Moment Generating Function

About the uniform convergence of a function sequence.

Let $\{a_n\}$ be decreasing and $\geq 0$. Let $0<\varepsilon<1/2$. Prove $\sum a_n\sin(2\pi nx)$ is unif. converg. in $[\epsilon, 1-\epsilon]$.

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