Question

If $f_{n}\longrightarrow f$ is a uniformly convergent sequence in a compact topological group $G$, then $\min(f_{n})\longrightarrow\min(f)$

score 41 · Answer 1 · 2019-12-27 06:55:02

If $f_{n}\longrightarrow f$ is a uniformly convergent sequence in a compact topological group $G$, then $\min(f_{n})\longrightarrow\min(f)$

score 48 · Answer 2 · 2019-12-27 16:11:21

48

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Uniform convergence criterion

Published on 27 Dec 2019 - 16:11

score 99 · Answer 3 · 2019-12-28 01:36:01

99

Views

Proving uniform convergence of $f_n(x) = \frac{x}{1 + n^2 x^2}$

Published on 28 Dec 2019 - 1:36

score 68 · Answer 4 · 2019-12-28 23:12:49

68

Views

An alternative proof of Egoroff's theorem in Follan's Real Analysis

Published on 28 Dec 2019 - 23:12

score 50 · Answer 5 · 2019-12-29 04:11:52

50

Views

Is there a sequence of positive numbers $\epsilon_1,\epsilon_2,...$ with the following property?

Published on 29 Dec 2019 - 4:11

score 140 · Answer 6 · 2019-12-29 13:15:05

140

Views

Relations between maximum local points and uniform convergence

Published on 29 Dec 2019 - 13:15

score 183 · Answer 7 · 2019-12-31 05:58:41

183

Views

Limit of supremum norm of a series of functions that converge pointwise

Published on 31 Dec 2019 - 5:58

score 323 · Answer 8 · 2026-03-27 07:19:59

323

Views

Question about proof of Mittag-Leffler's Theorem

Published on 27 Mar 2026 - 7:19

score 191 · Answer 9 · 2026-02-24 00:52:42

191

Views

Exercise 6.2.21 Introduction to Real Analysis by Jiri Lebl

Published on 24 Feb 2026 - 0:52

score 238 · Answer 10 · 2026-03-26 06:22:32

238

Views

$\sum\limits_{n=0}^{\infty} {e^{-\mathrm{i}nz}}$ is absolutely convergent in $D=\{\mathrm{Im}(z)<0\}$, does it diverges in $\{\mathrm{Im(z)}\geq0\}$?

Published on 26 Mar 2026 - 6:22

score 115 · Answer 11 · 2020-01-06 06:29:41

115

Views

Using Egoroff's theorem to prove the Bounded Convergence Theorem

Published on 06 Jan 2020 - 6:29

score 138 · Answer 12 · 2026-02-24 00:48:01

138

Views

uniform convergence of strict contractions

Published on 24 Feb 2026 - 0:48

score 80 · Answer 13 · 2026-02-24 00:49:16

80

Views

Finding the Pointwise Limit of $f_n$ and testing it's Uniform Convergence

Published on 24 Feb 2026 - 0:49

score 61 · Answer 14 · 2020-01-07 18:46:05

61

Views

Using Uniform convergence and Integration to find the Limit

Published on 07 Jan 2020 - 18:46

score 59 · Answer 15 · 2020-01-08 05:44:10

59

Views

Find the limit of this sequence.(sequence of the functions)

Published on 08 Jan 2020 - 5:44

List Question

If $f_{n}\longrightarrow f$ is a uniformly convergent sequence in a compact topological group $G$, then $\min(f_{n})\longrightarrow\min(f)$

Uniform convergence criterion

Proving uniform convergence of $f_n(x) = \frac{x}{1 + n^2 x^2}$

An alternative proof of Egoroff's theorem in Follan's Real Analysis

Is there a sequence of positive numbers $\epsilon_1,\epsilon_2,...$ with the following property?

Relations between maximum local points and uniform convergence

Limit of supremum norm of a series of functions that converge pointwise

Question about proof of Mittag-Leffler's Theorem

Exercise 6.2.21 Introduction to Real Analysis by Jiri Lebl

$\sum\limits_{n=0}^{\infty} {e^{-\mathrm{i}nz}}$ is absolutely convergent in $D=\{\mathrm{Im}(z)<0\}$, does it diverges in $\{\mathrm{Im(z)}\geq0\}$?

Using Egoroff's theorem to prove the Bounded Convergence Theorem

uniform convergence of strict contractions

Finding the Pointwise Limit of $f_n$ and testing it's Uniform Convergence

Using Uniform convergence and Integration to find the Limit

Find the limit of this sequence.(sequence of the functions)

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