Question

Two contractions with the same fixed point. Show that this sequence is convergent

score 60 · Answer 1 · 2022-11-26 17:55:11

60

Views

Two contractions with the same fixed point. Show that this sequence is convergent

Published on 26 Nov 2022 - 17:55

score 20 · Answer 2 · 2022-11-28 21:34:21

20

Views

Continuity of the limit of a uniform convergent sequences of functions

Published on 28 Nov 2022 - 21:34

score 15 · Answer 3 · 2022-11-28 23:14:30

15

Views

Derivatives of the limit of a sequence of functions

Published on 28 Nov 2022 - 23:14

score 59 · Answer 4 · 2022-12-01 00:25:58

59

Views

Prove that $f_n(x)=\sqrt{(x-1/2)^2+1/n}$ converges uniformly to non-differentiable function $f(x)=|x-1/2|$ on the interval $[0,1].$

Published on 01 Dec 2022 - 0:25

score 49 · Answer 5 · 2022-12-10 02:43:19

49

Views

Sequence of uniformly bounded functions over the positive integers has a certain convergent subsequence

Published on 10 Dec 2022 - 2:43

score 632 · Answer 6 · 2026-02-26 15:42:47

632

Views

If $(f_n)$ converges pointwise to $f$, then $f$ is uniformly continuous

Published on 26 Feb 2026 - 15:42

score 52 · Answer 7 · 2022-12-17 09:39:19

52

Views

Uniform convergence of the sequence of derivative functions

Published on 17 Dec 2022 - 9:39

score 46 · Answer 8 · 2022-12-18 18:17:01

46

Views

If $f_n$ converges to $f$ over an interval $I$ then it also converges over $I\setminus \{p\}$

Published on 18 Dec 2022 - 18:17

score 31 · Answer 9 · 2026-02-26 17:11:42

31

Views

Convergence of arguments in optimization

Published on 26 Feb 2026 - 17:11

score 49 · Answer 10 · 2023-01-04 12:23:13

49

Views

Uniform convergence of $f_n(x)=\int_0^x f(t^n)dt$, where $f$ is continuous on $[0,1]$.

Published on 04 Jan 2023 - 12:23

score 40 · Answer 11 · 2023-01-04 16:15:14

40

Views

What is difference between Convergence and Fixed point?

Published on 04 Jan 2023 - 16:15

score 60 · Answer 12 · 2023-01-15 22:16:51

60

Views

Study the convergence of the series $\sum_{n\in\mathbb{N}}\left(\frac{e^{it}}{2}\right)^{n}$

Published on 15 Jan 2023 - 22:16

score 83 · Answer 13 · 2023-01-20 18:53:43

83

Views

The sequence $\{x_{n}\}$ by $x_{n}=\frac{1}{2\pi}\int_{0}^{\pi/2}\tan^{\frac{1}{n}}t \ dt$ is such that $\{x_{n}\}$ converges to $1/4$

Published on 20 Jan 2023 - 18:53

score 41 · Answer 14 · 2023-01-22 17:52:53

41

Views

sequence of functions for which the derivative is bounded converges uniformly?

Published on 22 Jan 2023 - 17:52

score 162 · Answer 15 · 2023-01-27 03:29:31

162

Views

Closed-form solution to a recurrence relation of polynomials

Published on 27 Jan 2023 - 3:29

List Question

Two contractions with the same fixed point. Show that this sequence is convergent

Continuity of the limit of a uniform convergent sequences of functions

Derivatives of the limit of a sequence of functions

Prove that $f_n(x)=\sqrt{(x-1/2)^2+1/n}$ converges uniformly to non-differentiable function $f(x)=|x-1/2|$ on the interval $[0,1].$

Sequence of uniformly bounded functions over the positive integers has a certain convergent subsequence

If $(f_n)$ converges pointwise to $f$, then $f$ is uniformly continuous

Uniform convergence of the sequence of derivative functions

If $f_n$ converges to $f$ over an interval $I$ then it also converges over $I\setminus \{p\}$

Convergence of arguments in optimization

Uniform convergence of $f_n(x)=\int_0^x f(t^n)dt$, where $f$ is continuous on $[0,1]$.

What is difference between Convergence and Fixed point?

Study the convergence of the series $\sum_{n\in\mathbb{N}}\left(\frac{e^{it}}{2}\right)^{n}$

The sequence $\{x_{n}\}$ by $x_{n}=\frac{1}{2\pi}\int_{0}^{\pi/2}\tan^{\frac{1}{n}}t \ dt$ is such that $\{x_{n}\}$ converges to $1/4$

sequence of functions for which the derivative is bounded converges uniformly?

Closed-form solution to a recurrence relation of polynomials

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