Question

Uniform convergence of sequence of functions defined on $[0,1]$

score 386 · Answer 1 · 2017-05-30 04:07:38

386

Views

Uniform convergence of sequence of functions defined on $[0,1]$

Published on 30 May 2017 - 4:07

score 63 · Answer 2 · 2017-06-04 17:28:25

63

Views

On Uniform Convergence of Sequence and Series Of functions.

Published on 04 Jun 2017 - 17:28

score 54 · Answer 3 · 2017-06-07 15:43:25

54

Views

Find sequence of function that has several conditions

Published on 07 Jun 2017 - 15:43

score 1.9k · Answer 4 · 2017-06-09 06:27:08

1.9k

Views

Show that the sequence of functions $\{f_n\}$ convereges uniformly to $f$ on $[0,1]$ by the given condition.

Published on 09 Jun 2017 - 6:27

score 66 · Answer 5 · 2017-06-10 04:49:08

66

Views

Show that $f_n$ converges uniformly on $[-\frac {1} {2} , \frac {1} {2}]$.

Published on 10 Jun 2017 - 4:49

score 137 · Answer 6 · 2017-06-11 17:06:03

137

Views

Show that $\underset {x \in [0,1]} {\sup} f_n(x) \rightarrow \underset {x \in [0,1]} {\sup} f(x)$ as $n \rightarrow \infty$.

Published on 11 Jun 2017 - 17:06

score 166 · Answer 7 · 2026-02-25 03:39:35

166

Views

Pointwise and uniform convergence application

Published on 25 Feb 2026 - 3:39

score 200 · Answer 8 · 2017-06-14 18:48:17

200

Views

Let $\{f_n\}$ be a sequence of unif cont functions from $(X,d) \to (\Omega,\rho)$ s.t $\{f_n\} \to f$ uniformly. Show that $f$ is unif cont.

Published on 14 Jun 2017 - 18:48

score 71 · Answer 9 · 2017-06-18 11:46:38

71

Views

Sequence of functions convergence investigation and question

Published on 18 Jun 2017 - 11:46

score 137 · Answer 10 · 2017-06-19 23:33:17

137

Views

Infinite points in a line (Contest Math)

Published on 19 Jun 2017 - 23:33

score 246 · Answer 11 · 2017-06-26 15:15:07

246

Views

Does $f_n(x)=e^{\frac{-x}{n}}$ converge uniformly to $1$ on $[0,\infty)$?

Published on 26 Jun 2017 - 15:15

score 279 · Answer 12 · 2017-06-29 13:31:47

279

Views

Convergence of an uncountable sequence of functions

Published on 29 Jun 2017 - 13:31

score 852 · Answer 13 · 2026-02-25 03:38:32

852

Views

Pointwise convergence to a uniform continuous function

Published on 25 Feb 2026 - 3:38

score 82 · Answer 14 · 2017-07-09 19:57:45

82

Views

Constructing a sequence of function

Published on 09 Jul 2017 - 19:57

score 190 · Answer 15 · 2017-07-10 17:42:44

190

Views

Given $P_n(x)=\frac{n}{1+n^2x^2},$ Prove $f_n(x)=\frac{1}{\pi}\int_{-\infty}^\infty f(x-t)P_n(t)$ converges uniformly

Published on 10 Jul 2017 - 17:42

List Question

Uniform convergence of sequence of functions defined on $[0,1]$

On Uniform Convergence of Sequence and Series Of functions.

Find sequence of function that has several conditions

Show that the sequence of functions $\{f_n\}$ convereges uniformly to $f$ on $[0,1]$ by the given condition.

Show that $f_n$ converges uniformly on $[-\frac {1} {2} , \frac {1} {2}]$.

Show that $\underset {x \in [0,1]} {\sup} f_n(x) \rightarrow \underset {x \in [0,1]} {\sup} f(x)$ as $n \rightarrow \infty$.

Pointwise and uniform convergence application

Let $\{f_n\}$ be a sequence of unif cont functions from $(X,d) \to (\Omega,\rho)$ s.t $\{f_n\} \to f$ uniformly. Show that $f$ is unif cont.

Sequence of functions convergence investigation and question

Infinite points in a line (Contest Math)

Does $f_n(x)=e^{\frac{-x}{n}}$ converge uniformly to $1$ on $[0,\infty)$?

Convergence of an uncountable sequence of functions

Pointwise convergence to a uniform continuous function

Constructing a sequence of function

Given $P_n(x)=\frac{n}{1+n^2x^2},$ Prove $f_n(x)=\frac{1}{\pi}\int_{-\infty}^\infty f(x-t)P_n(t)$ converges uniformly

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