Question

Uniform convergence of 2-norm of a multinomial vector

score 124 · Answer 1 · 2026-04-01 02:06:15

124

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Uniform convergence of 2-norm of a multinomial vector

Published on 01 Apr 2026 - 2:06

score 3.1k · Answer 2 · 2015-10-29 13:24:26

3.1k

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Uniform convergence of simple functions to a bounded function $f$

Published on 29 Oct 2015 - 13:24

score 1.1k · Answer 3 · 2015-11-01 06:42:27

1.1k

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Let ${f_n}$ be a sequence of continuous real valued functions on $[0, \infty)$, then which of the following is/are true?

Published on 01 Nov 2015 - 6:42

score 370 · Answer 4 · 2015-11-01 20:14:37

370

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Showing equality of sequence of holomorphic functions to limit function if converges uniformly locally

Published on 01 Nov 2015 - 20:14

score 661 · Answer 5 · 2026-04-08 16:29:46

661

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Finding a dominating function

Published on 08 Apr 2026 - 16:29

score 2.1k · Answer 6 · 2015-11-02 08:37:47

2.1k

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Prove that $\sum\limits_{n=1}^\infty(-1)^n\frac{x^2+n}{n^2}$ converges uniformly, but not absolutely

Published on 02 Nov 2015 - 8:37

score 192 · Answer 7 · 2026-04-01 12:51:55

192

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Show that if $f:\mathbb{R}\rightarrow\mathbb{R}$ is uniformly continuous, then sequence $f(x+1),f(x+\frac{1}{2}),f(x+\frac{1}{3}),\ldots$

Published on 01 Apr 2026 - 12:51

score 2.7k · Answer 8 · 2026-04-12 00:50:33

2.7k

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When does the limit of derivatives coincide with the derivative of the limit function?

Published on 12 Apr 2026 - 0:50

score 35 · Answer 9 · 2015-11-04 07:43:33

35

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Computation of uniform limits

Published on 04 Nov 2015 - 7:43

score 102 · Answer 10 · 2015-11-05 21:02:25

102

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Show that $E=\bigcup_{k=1}^{\infty}E_k$, where for each k, $E_k$ is measurable

Published on 05 Nov 2015 - 21:02

score 183 · Answer 11 · 2026-03-30 10:56:30

183

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Derivative of cumulative generating function at zero equals expectation value

Published on 30 Mar 2026 - 10:56

score 301 · Answer 12 · 2026-04-13 03:09:09

301

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In a proof of uniform convergence, how to find $\epsilon$ that works for all interval $[a,b]$?

Published on 13 Apr 2026 - 3:09

score 49 · Answer 13 · 2015-11-08 04:05:35

49

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Show that $x-\frac{x^{2}\sin x}{(1+nx^{2})(1+(n-1)x^{2})}$ can be simplified to $\frac{|\sin x|}{1+nx^{2}}$

Published on 08 Nov 2015 - 4:05

score 1.6k · Answer 14 · 2015-11-08 23:43:46

1.6k

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Series of Functions - Pointwise and Uniform Convergence

Published on 08 Nov 2015 - 23:43

score 816 · Answer 15 · 2026-04-11 12:09:17

816

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Term by Term Differentiability in the context of Uniform Convergence

Published on 11 Apr 2026 - 12:09

List Question

Uniform convergence of 2-norm of a multinomial vector

Uniform convergence of simple functions to a bounded function $f$

Let ${f_n}$ be a sequence of continuous real valued functions on $[0, \infty)$, then which of the following is/are true?

Showing equality of sequence of holomorphic functions to limit function if converges uniformly locally

Finding a dominating function

Prove that $\sum\limits_{n=1}^\infty(-1)^n\frac{x^2+n}{n^2}$ converges uniformly, but not absolutely

Show that if $f:\mathbb{R}\rightarrow\mathbb{R}$ is uniformly continuous, then sequence $f(x+1),f(x+\frac{1}{2}),f(x+\frac{1}{3}),\ldots$

When does the limit of derivatives coincide with the derivative of the limit function?

Computation of uniform limits

Show that $E=\bigcup_{k=1}^{\infty}E_k$, where for each k, $E_k$ is measurable

Derivative of cumulative generating function at zero equals expectation value

In a proof of uniform convergence, how to find $\epsilon$ that works for all interval $[a,b]$?

Show that $x-\frac{x^{2}\sin x}{(1+nx^{2})(1+(n-1)x^{2})}$ can be simplified to $\frac{|\sin x|}{1+nx^{2}}$

Series of Functions - Pointwise and Uniform Convergence

Term by Term Differentiability in the context of Uniform Convergence

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