List questions from uniform-convergence

Published on 16 Apr 2026 - 12:03

515

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Uniform Convergence of $\sum_{k=0}^\infty\frac{kx}{1+k^4x^2}$

Published on 14 Apr 2026 - 5:24

42

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Uniform convergence to f(x) = 0

Published on 15 Apr 2026 - 5:39

199

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Uniform convergence of a sequence of functions given by integrals

Published on 14 Apr 2026 - 19:51

43

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Uniform Convergence and Improper Integration

Published on 15 Apr 2026 - 17:13

195

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If $f_n\to f$ uniformly, then $\frac{1}{n}\log(f_n)\to 0$ uniformly

Published on 16 Apr 2026 - 13:01

207

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Prove that $(f_n)$, $f_n =x^n$, $x \in (0,1)$ is not uniformly convergent on $(0,1)$

Published on 11 Apr 2026 - 10:38

469

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$f_n(x)=n(f(x+\frac{1}{n})-f(x))$ converges uniformly to derivative

Published on 15 Apr 2026 - 20:07

93

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Uniform convergence of $\sum_{n=0} ^\infty \frac{(-1)^n}{2n+1} \left(\frac{2z}{1-z^2}\right)^{2n+1}$

Published on 14 Apr 2026 - 20:32

39

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Uniform convergence but limit not continuous

Published on 12 Apr 2026 - 5:12

85

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How to prove $\sup_y\left|\frac1n\sum_{i=1}^n F(y|X_i)-E(F(y|X))\right|\overset{p}\to0?$

Published on 14 May 2026 - 11:18

876

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Lim Supremum fn(x) = sup f(x)

Published on 15 Apr 2026 - 17:32

542

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Convergence of $\sum_{n=1}^\infty \frac{z^n}{2^n(1-z^n)}$

Published on 13 Apr 2026 - 0:04

36

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Is $f_n (x)$ is uniformly convergent on $[0, \pi /2]$?

Published on 13 Apr 2026 - 8:12

181

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Sequence of polynomials $f_n [0, 1] \to \mathbb{R}$ of the same degree converges uniformly to a polynomial

Published on 15 Apr 2026 - 8:05

List Question

Uniform convergence of $f_n(x)$ defined on unit interval

Uniform Convergence of $\sum_{k=0}^\infty\frac{kx}{1+k^4x^2}$

Uniform convergence to f(x) = 0

Uniform convergence of a sequence of functions given by integrals

Uniform Convergence and Improper Integration

If $f_n\to f$ uniformly, then $\frac{1}{n}\log(f_n)\to 0$ uniformly

Prove that $(f_n)$, $f_n =x^n$, $x \in (0,1)$ is not uniformly convergent on $(0,1)$

$f_n(x)=n(f(x+\frac{1}{n})-f(x))$ converges uniformly to derivative

Uniform convergence of $\sum_{n=0} ^\infty \frac{(-1)^n}{2n+1} \left(\frac{2z}{1-z^2}\right)^{2n+1}$

Uniform convergence but limit not continuous

How to prove $\sup_y\left|\frac1n\sum_{i=1}^n F(y|X_i)-E(F(y|X))\right|\overset{p}\to0?$

Lim Supremum fn(x) = sup f(x)

Convergence of $\sum_{n=1}^\infty \frac{z^n}{2^n(1-z^n)}$

Is $f_n (x)$ is uniformly convergent on $[0, \pi /2]$?

Sequence of polynomials $f_n [0, 1] \to \mathbb{R}$ of the same degree converges uniformly to a polynomial

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