List questions from uniform-convergence

Published on 15 Apr 2026 - 5:53

330

Views

$f_n\to f$ pointwisely, $f_n'\to g$ uniformly, then does $f'=g$ hold ? Do I use fundamental theorem of calculus correctly?

Published on 15 Apr 2026 - 6:02

40

Views

$\int_{-1}^{f(x+1/n)}g(t)dt$ converges uniformly

Published on 21 Apr 2026 - 21:05

36

Views

Convergence of a series of solutions to a Cauchy problem

Published on 11 Apr 2026 - 8:08

57

Views

How can I prove that this sequence converges uniformly?

Published on 13 Apr 2026 - 5:35

69

Views

Proof that $\frac{x}{1+nx}$ converges uniformly to the zero function on $[0,1]$

Published on 13 Apr 2026 - 22:16

121

Views

Prove this Fourier series converges to a continuous function

Published on 14 Apr 2026 - 23:00

92

Views

Prove uniform convergence of $\sum_{n=1}^{\infty}x^{n}(1-x^{n})$

Published on 16 Apr 2026 - 1:29

57

Views

Uniform convergence of random functions

Published on 13 Apr 2026 - 20:07

50

Views

Is the convergence also uniform?

Published on 15 Apr 2026 - 16:05

33

Views

Dominated converge with uniformly convergent sequences

Published on 12 Apr 2026 - 11:39

719

Views

$f$ uniformly continuous, $f_n(x) = f(x + 1/n)$. Show $f_n$ uniformly converges to $f$. Why is uniform continuity needed?

Published on 21 Apr 2026 - 21:07

48

Views

Local uniform convergence of integrals involving determinants

Published on 15 Apr 2026 - 8:55

51

Views

Uniform convergence equal to pointwise convergence?

Published on 14 Apr 2026 - 22:05

103

Views

Some version of the theorem of Arzelà-Ascoli

Published on 15 Apr 2026 - 1:29

List Question

How to prove function $f_n(x)= \frac{x}{nx^{2}+1}$ converges uniformly?

$f_n\to f$ pointwisely, $f_n'\to g$ uniformly, then does $f'=g$ hold ? Do I use fundamental theorem of calculus correctly?

$\int_{-1}^{f(x+1/n)}g(t)dt$ converges uniformly

Convergence of a series of solutions to a Cauchy problem

How can I prove that this sequence converges uniformly?

Proof that $\frac{x}{1+nx}$ converges uniformly to the zero function on $[0,1]$

Prove this Fourier series converges to a continuous function

Prove uniform convergence of $\sum_{n=1}^{\infty}x^{n}(1-x^{n})$

Uniform convergence of random functions

Is the convergence also uniform?

Dominated converge with uniformly convergent sequences

$f$ uniformly continuous, $f_n(x) = f(x + 1/n)$. Show $f_n$ uniformly converges to $f$. Why is uniform continuity needed?

Local uniform convergence of integrals involving determinants

Uniform convergence equal to pointwise convergence?

Some version of the theorem of Arzelà-Ascoli

Trending Questions

Popular # Hahtags

Popular Questions