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Asymptotic Normality lemma (Serfling - 1980)

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#statistics #asymptotics #uniform-convergence #statistical-inference #weak-convergence
48
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Analysis of convergence (pointwise, local uniform, uniform)

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#analysis #convergence-divergence #uniform-convergence #pointwise-convergence
323
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Abel's test for uniform convergence in Fourier series

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#sequences-and-series #fourier-series #uniform-convergence
85
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About $\max |\sum_{n=0}^{n=\infty} a_n x^n - \sum_{n=0}^{n=N} a_n x^n| \to 0$ ($N \to \infty$)

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#calculus #power-series #uniform-convergence
85
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Examine the almost uniform convergence

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#real-analysis #uniform-convergence
171
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Does $\sum_{n=0}^{\infty}e^{-nx}\cos{nx}$ converge point-wise $\forall \space x \in [1, \infty)$?

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#sequences-and-series #uniform-convergence
51
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finding if a series converges uniformly

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#real-analysis #sequences-and-series #convergence-divergence #uniform-convergence
39
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Uniform Continuity implies boundedness in sequence of functions

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#real-analysis #uniform-convergence #sequence-of-function
35
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Convergence of Fourier.

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#fourier-series #uniform-convergence
85
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Prove $f(x) = \sum_{n=1}^{\infty} \frac{x^n}{2^n} \cos{nx}$ is differentiable at $(-2, 2)$.

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#real-analysis #derivatives #uniform-convergence
84
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Uniform convergence of $\sum_{n=1}^{\infty}\frac{1-e^{-\frac{x}{n}}}{nx}$

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#sequences-and-series #derivatives #convergence-divergence #uniform-convergence
236
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Sequence of integrable functions on [a,b] converges pointwise but not uniformly?

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#real-analysis #convergence-divergence #uniform-convergence #pointwise-convergence
414
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Uniform convergence in open intervals

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#real-analysis #sequences-and-series #uniform-convergence #sequence-of-function
109
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uniform convergence of $f_n=z^2-\frac{1}{n}$

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#complex-analysis #complex-numbers #uniform-convergence
209
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Uniform convergence of $f_n(x) = \left(1 + \frac{x}{n}\right)^n$ when calculating limit

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#real-analysis #integration #sequences-and-series #convergence-divergence #uniform-convergence

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