Question

Sequence of functions, uniform convergence, and dirac

score 86 · Answer 1 · 2021-07-30 14:12:28

86

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Sequence of functions, uniform convergence, and dirac

Published on 30 Jul 2021 - 14:12

score 123 · Answer 2 · 2021-08-01 19:05:21

123

Views

The reciprocal of Abel's Theorem for Limits

Published on 01 Aug 2021 - 19:05

score 367 · Answer 3 · 2021-08-01 20:12:36

367

Views

Pointwise convergent subsequence of a sequence of bounded functions on a countable domain

Published on 01 Aug 2021 - 20:12

score 134 · Answer 4 · 2021-08-02 18:40:59

134

Views

The set that $(f_n)$ converges to a real or a rational number is measurable

Published on 02 Aug 2021 - 18:40

score 273 · Answer 5 · 2021-08-10 14:46:41

273

Views

Let $ f_n: (a, b) \to \mathbb R $ be a sequence of functions that satisfies the following hypotheses:

Published on 10 Aug 2021 - 14:46

score 103 · Answer 6 · 2021-08-14 16:55:12

103

Views

Prove that there exists $n_0 \in \mathbb N$ such that $\sum\limits_{n = n_0+1}^{\infty} \log (1 + g_n (x))$ converges absolutely and uniformly on $X.$

Published on 14 Aug 2021 - 16:55

score 3.3k · Answer 7 · 2021-08-17 11:28:43

3.3k

Views

Find an equation of the sequence $1, 3, 12, 60, 360, 2520, \cdots $.

Published on 17 Aug 2021 - 11:28

score 153 · Answer 8 · 2021-08-17 17:38:37

153

Views

Does $nx^n(1-x^2)$ converges uniformly to $0$ on $[0,1]$?

Published on 17 Aug 2021 - 17:38

score 129 · Answer 9 · 2021-08-21 06:47:31

129

Views

Difference between Sequence of Functions and Multivariable Functions

Published on 21 Aug 2021 - 6:47

score 380 · Answer 10 · 2021-08-23 09:45:04

380

Views

$f(x)=\sum_{n=0}^{\infty} \frac{e^{-nx}}{1+n^2}$ is differentiable at $~(0, \infty)$

Published on 23 Aug 2021 - 9:45

score 307 · Answer 11 · 2021-08-23 10:36:10

307

Views

Thm 7.23 Baby Rudin (A pointwise bounded sequence of functions on a countable set has a pointwise convergent subsequence)

Published on 23 Aug 2021 - 10:36

score 85 · Answer 12 · 2021-08-23 15:13:11

85

Views

How to deduce that there doesn't exist any sequence of polynomials $P_n$ such that $P_n(z)\to \frac 1z$

Published on 23 Aug 2021 - 15:13

score 26 · Answer 13 · 2021-08-26 18:49:05

26

Views

How does a nonnegative matrix (with spectral radius $\rho(A) \geq 1$) change the magnitude of the L1 norm of a vector?

Published on 26 Aug 2021 - 18:49

score 46 · Answer 14 · 2021-08-28 09:17:15

46

Views

Lebesgue integral $\geq1$ for $f_n \rightarrow 0$ uniformly in every compact set of $ \mathbb{R}$

Published on 28 Aug 2021 - 9:17

score 62 · Answer 15 · 2021-08-31 18:08:31

62

Views

Relation between convergence in $L^{p}$ and $L^{q}$

Published on 31 Aug 2021 - 18:08

List Question

Sequence of functions, uniform convergence, and dirac

The reciprocal of Abel's Theorem for Limits

Pointwise convergent subsequence of a sequence of bounded functions on a countable domain

The set that $(f_n)$ converges to a real or a rational number is measurable

Let $ f_n: (a, b) \to \mathbb R $ be a sequence of functions that satisfies the following hypotheses:

Prove that there exists $n_0 \in \mathbb N$ such that $\sum\limits_{n = n_0+1}^{\infty} \log (1 + g_n (x))$ converges absolutely and uniformly on $X.$

Find an equation of the sequence $1, 3, 12, 60, 360, 2520, \cdots $.

Does $nx^n(1-x^2)$ converges uniformly to $0$ on $[0,1]$?

Difference between Sequence of Functions and Multivariable Functions

$f(x)=\sum_{n=0}^{\infty} \frac{e^{-nx}}{1+n^2}$ is differentiable at $~(0, \infty)$

Thm 7.23 Baby Rudin (A pointwise bounded sequence of functions on a countable set has a pointwise convergent subsequence)

How to deduce that there doesn't exist any sequence of polynomials $P_n$ such that $P_n(z)\to \frac 1z$

How does a nonnegative matrix (with spectral radius $\rho(A) \geq 1$) change the magnitude of the L1 norm of a vector?

Lebesgue integral $\geq1$ for $f_n \rightarrow 0$ uniformly in every compact set of $ \mathbb{R}$

Relation between convergence in $L^{p}$ and $L^{q}$

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