List questions from sequence-of-function

Published on 06 Apr 2023 - 20:52

50

Views

Counter exemple of a statement for a measurable sequence

Published on 12 Apr 2023 - 14:21

34

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Investigating whether a pointwise convergence of a series of functions is uniform

Published on 12 Apr 2023 - 23:05

29

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sequence of functions of sin and cos converges pointwisely but not uniformly

Published on 13 Apr 2023 - 10:47

78

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If $f_n(x)$ uniformly converges to a bounded function $f(x)$, then $f_n(x)$ is bounded for all $n \in \Bbb{N^+}$ ？

Published on 13 Apr 2023 - 23:16

36

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What is the rate of convergence of the following sequence (equation with a finite number of nested radicals)?

Published on 26 Apr 2023 - 21:11

81

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Heisenberg Inequality for $L^2$ functions

Published on 29 Apr 2023 - 4:30

52

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The sequence of function $f_k(x) = \frac{x^k}{(1+x)^2},~x\ge 0$

Published on 04 May 2023 - 22:41

83

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$\lim_{h\to 0}\int_{\mathbb{R}}|f_h(x)-g(x)|^2dx=0$

Published on 09 May 2023 - 3:46

41

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Approximation by simple functions of vector valued functions

Published on 23 Feb 2026 - 14:04

28

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Proving interchange of limiting operations for a sequence of functions dominated by another sequence of functions.

Published on 14 May 2023 - 21:45

29

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Measurability of a limit "in measure" of a sequence of measurable functions

Published on 25 May 2023 - 18:51

93

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Lambda function which generates a sequence

Published on 27 May 2023 - 14:08

45

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A ball in $H^m(\Omega)$ is closed under $L^2$-convergence

Published on 01 Jun 2023 - 2:07

19

Views

If a functional sequence converges compactly on a domain, does its subsequence also converge compactly on the same domain?

Published on 03 Jun 2023 - 17:40

List Question

Double limit of Riemann integrals

Counter exemple of a statement for a measurable sequence

Investigating whether a pointwise convergence of a series of functions is uniform

sequence of functions of sin and cos converges pointwisely but not uniformly

If $f_n(x)$ uniformly converges to a bounded function $f(x)$, then $f_n(x)$ is bounded for all $n \in \Bbb{N^+}$ ？

What is the rate of convergence of the following sequence (equation with a finite number of nested radicals)?

Heisenberg Inequality for $L^2$ functions

The sequence of function $f_k(x) = \frac{x^k}{(1+x)^2},~x\ge 0$

$\lim_{h\to 0}\int_{\mathbb{R}}|f_h(x)-g(x)|^2dx=0$

Approximation by simple functions of vector valued functions

Proving interchange of limiting operations for a sequence of functions dominated by another sequence of functions.

Measurability of a limit "in measure" of a sequence of measurable functions

Lambda function which generates a sequence

A ball in $H^m(\Omega)$ is closed under $L^2$-convergence

If a functional sequence converges compactly on a domain, does its subsequence also converge compactly on the same domain?

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