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Whats the point of Pointwise Convergence

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#real-analysis #uniform-convergence #pointwise-convergence
105
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PMA exercise 7.13

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#real-analysis #sequences-and-series #uniform-convergence #sequence-of-function
195
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derivatives of uniformly convergent series

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#sequences-and-series #functions #convergence-divergence #partial-derivative #uniform-convergence
61
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Interchanging the limits with uniform convergence only on compact subsets

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#calculus #uniform-convergence
87
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Does fourier series for $f(x)=\begin{cases}-1\ \text{for}\ x \in (-\pi, 0) \\0 \ \text{for}\ x=0 \\ 1 \ \text{for} \ x\in (0,\pi)\end{cases}$ converge

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#sequences-and-series #convergence-divergence #fourier-series #uniform-convergence #pointwise-convergence
28
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Find the Laurent series for the following function

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#complex-analysis #taylor-expansion #power-series #uniform-convergence #laurent-series
86
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Normal convergence?

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#real-analysis #analysis #uniform-convergence
52
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Usefulness of alternative version of Egoroff's Theorem

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#complex-analysis #measure-theory #uniform-convergence
69
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Is the function sequence of the form $f_{n}(x) = (x - x^{2})^n$ pointwise convergent?

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#real-analysis #uniform-convergence
68
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Queries about the "monotone" condition of Dirichlet's Test.

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#calculus #uniform-convergence
24
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Decomposition of preimage set

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#complex-analysis #analysis #uniform-convergence
133
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Why does $\sum_{n=0}^{\infty} (-1)^n x^n (1-x)$ converges uniformly on $[0,1]$?

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#real-analysis #calculus #sequences-and-series #convergence-divergence #uniform-convergence
49
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Uniform convergence of $\sum_{m=1}^{\infty} (-1)^m \{{(m+1)^s - m^s} \}$ for $0 < \Re(s) < 1$

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#sequences-and-series #proof-explanation #uniform-convergence
132
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Uniform Convergence Proof: $\frac{\sin nx}{n\sqrt{x}} \to 0$

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#uniform-convergence
104
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Does pointwise convergence of convex functions implies uniform convergence under some rate?

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#real-analysis #functional-analysis #analysis #convex-analysis #uniform-convergence

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