List questions from uniform-convergence

Published on 27 Feb 2023 - 16:05

28

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Integrability of a given Laurent polynomial

Published on 03 Mar 2023 - 10:09

86

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Is this theorem the same as uniform limit theorem, and why does my proof seems to be wrong, am I misunderstanding the notation?

Published on 05 Mar 2023 - 8:46

63

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$\bigg|\int_{0}^{\infty}f(s)e^{-ias}ds\bigg| \leq C$

Published on 06 Mar 2023 - 17:58

75

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Calculate $1-\frac13+\frac15-\frac17+\cdots$ by using the power series of arctan.

Published on 08 Mar 2023 - 5:49

70

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Proving unif. conv. of $\lim_{m \rightarrow \infty} \sum_{k=0}^m \frac{1}{k!} \left( 1 - \frac{1}{n} \right ) \cdots \left( 1 - \frac{k-1}{n} \right)$

Published on 23 Feb 2026 - 10:22

59

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Pointwise or uniform convergence of $\sum_{n = 0}^{\infty} \frac{(ix)^n}{n!}$

Published on 13 Mar 2023 - 18:13

73

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Uniform convergence implies convergence of suprema?

Published on 13 Mar 2023 - 20:23

140

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Why can the limit in this case pass inside the integral?

Published on 14 Mar 2023 - 16:16

61

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Show point or uniform convergence

Published on 16 Mar 2023 - 11:45

119

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Partial Converse of Abel's theorem with $a_k\ge0\forall k$

Published on 18 Mar 2023 - 10:43

61

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Weak, strong and uniform convergence of operator on $L^p(\mathbb{R}^d)$

Published on 19 Mar 2023 - 12:25

73

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Weak convergence of functionals $g_n^*(f) = n\int_0^1 x^nf(x)dx$

Published on 19 Mar 2023 - 13:15

139

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proof that the operator of integral equation is a contraction

Published on 27 Feb 2026 - 16:40

57

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Does uniform convergence on any interval of form $[-M,M]$ imply continuïty of limit function?

Published on 19 Mar 2023 - 21:54

List Question

Weak convergence and strong convergence of solutions of ODEs

Integrability of a given Laurent polynomial

Is this theorem the same as uniform limit theorem, and why does my proof seems to be wrong, am I misunderstanding the notation?

$\bigg|\int_{0}^{\infty}f(s)e^{-ias}ds\bigg| \leq C$

Calculate $1-\frac13+\frac15-\frac17+\cdots$ by using the power series of arctan.

Proving unif. conv. of $\lim_{m \rightarrow \infty} \sum_{k=0}^m \frac{1}{k!} \left( 1 - \frac{1}{n} \right ) \cdots \left( 1 - \frac{k-1}{n} \right)$

Pointwise or uniform convergence of $\sum_{n = 0}^{\infty} \frac{(ix)^n}{n!}$

Uniform convergence implies convergence of suprema?

Why can the limit in this case pass inside the integral?

Show point or uniform convergence

Partial Converse of Abel's theorem with $a_k\ge0\forall k$

Weak, strong and uniform convergence of operator on $L^p(\mathbb{R}^d)$

Weak convergence of functionals $g_n^*(f) = n\int_0^1 x^nf(x)dx$

proof that the operator of integral equation is a contraction

Does uniform convergence on any interval of form $[-M,M]$ imply continuïty of limit function?

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