Question

Show there exists a sequence of polynomials which converge uniformly to a continuous $f$.

score 1.4k · Answer 1 · 2016-08-21 18:08:49

1.4k

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Show there exists a sequence of polynomials which converge uniformly to a continuous $f$.

Published on 21 Aug 2016 - 18:08

score 2.5k · Answer 2 · 2016-08-23 13:06:38

2.5k

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Uniform convergence and differentiability

Published on 23 Aug 2016 - 13:06

score 1.8k · Answer 3 · 2016-08-24 20:29:40

1.8k

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Why does the sequence of functions $f_n(x)=nx^n(1-x)$ not converge uniformly?

Published on 24 Aug 2016 - 20:29

score 647 · Answer 4 · 2016-08-24 21:32:26

647

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Does $f_n(x)=nxe^{-nx}\sin(x)$ converges uniformly on $\mathbb{R}^{+}$?

Published on 24 Aug 2016 - 21:32

score 1k · Answer 5 · 2016-08-25 22:39:34

1k

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Definitions of nontangential limits in the disc (Stolz angles)

Published on 25 Aug 2016 - 22:39

score 2.2k · Answer 6 · 2016-08-26 05:34:36

2.2k

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Continuity of limit of continuous functions implies uniform convergence?

Published on 26 Aug 2016 - 5:34

score 32 · Answer 7 · 2016-08-28 13:20:09

32

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Uniform Convergence and Continuity of a Function

Published on 28 Aug 2016 - 13:20

score 87 · Answer 8 · 2016-08-29 10:35:47

87

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Investigating convergence of a sequence of functions

Published on 29 Aug 2016 - 10:35

score 498 · Answer 9 · 2016-08-30 19:20:03

498

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Uniform limit of continuous analytic functions is analytic

Published on 30 Aug 2016 - 19:20

score 60 · Answer 10 · 2016-09-01 00:08:02

60

Views

Uniform convergence of the derivative

Published on 01 Sep 2016 - 0:08

score 2.6k · Answer 11 · 2026-03-14 20:06:13

2.6k

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Proof of Peano's existence theorem for ODEs

Published on 14 Mar 2026 - 20:06

score 120 · Answer 12 · 2016-09-10 16:51:12

120

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Question on convergence of a sequence of functions uniformly on compact sets

Published on 10 Sep 2016 - 16:51

score 76 · Answer 13 · 2016-09-15 18:19:19

76

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Uniform convergence of a series

Published on 15 Sep 2016 - 18:19

score 576 · Answer 14 · 2016-09-17 16:45:39

576

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Why in uniform convergence "the speed of convergence does not depend on $x$"?

Published on 17 Sep 2016 - 16:45

score 109 · Answer 15 · 2016-09-23 02:53:14

109

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Prove that if $f_n$ analitics converges uniformly to $f$ then $f_n^{'}$ converges uniformly to $f^{'}$

Published on 23 Sep 2016 - 2:53

List Question

Show there exists a sequence of polynomials which converge uniformly to a continuous $f$.

Uniform convergence and differentiability

Why does the sequence of functions $f_n(x)=nx^n(1-x)$ not converge uniformly?

Does $f_n(x)=nxe^{-nx}\sin(x)$ converges uniformly on $\mathbb{R}^{+}$?

Definitions of nontangential limits in the disc (Stolz angles)

Continuity of limit of continuous functions implies uniform convergence?

Uniform Convergence and Continuity of a Function

Investigating convergence of a sequence of functions

Uniform limit of continuous analytic functions is analytic

Uniform convergence of the derivative

Proof of Peano's existence theorem for ODEs

Question on convergence of a sequence of functions uniformly on compact sets

Uniform convergence of a series

Why in uniform convergence "the speed of convergence does not depend on $x$"?

Prove that if $f_n$ analitics converges uniformly to $f$ then $f_n^{'}$ converges uniformly to $f^{'}$

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