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the upper bound of the supremums of the sequence

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#calculus #functional-analysis #measure-theory #convergence-divergence #uniform-convergence
1k
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When is the limit of the finite sums equal to the infinite sum of the limits?

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#real-analysis #sequences-and-series #limits #convergence-divergence #uniform-convergence
526
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Showing that a sequence does not converge uniformly to a piecewise function

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#uniform-convergence
319
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About Uniform Convergence of Complex Power Series

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#complex-analysis #power-series #uniform-convergence
159
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Uniform convergence and improper Riemann integral of the second kind

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#real-analysis #improper-integrals #examples-counterexamples #uniform-convergence #riemann-integration
28
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Continuity of the function $F(y)=\int\limits_0^{+\infty}ye^{-(x-y)^4}dx$

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#calculus #continuity #improper-integrals #uniform-convergence
109
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Uniform convergence of $\sum n^x x^n$

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#real-analysis #uniform-convergence
83
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Proving the uniform convergence of $f_n$

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#real-analysis #sequences-and-series #convergence-divergence #uniform-convergence
986
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Evans Proof of Solution to Poisson's Equation

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#partial-differential-equations #uniform-convergence #poissons-equation
543
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Uniform convergence on compacts in probability and uniform convergence on compacts almost surely

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#probability #probability-theory #measure-theory #uniform-convergence
72
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Limit of pseudo-series

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#sequences-and-series #limits #uniform-convergence
709
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Does uniform convergence imply convergence in measure?

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#sequences-and-series #measure-theory #lebesgue-measure #uniform-convergence #almost-everywhere
1.4k
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Does weak convergence in a Sobolev space implies uniform convergence?

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#real-analysis #functional-analysis #sobolev-spaces #uniform-convergence #weak-convergence
416
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Uniform convergence of $f_{n}(x)=\frac{\log(1+nx^2)}{2n} \: \forall x\in[1,2]$

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#real-analysis #uniform-convergence
187
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Uniform Convergence of Dirichlet Series over $\mathbb{R}$

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#calculus #real-analysis #sequences-and-series #proof-verification #uniform-convergence

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