List questions from uniform-convergence

Published on 01 Apr 2014 - 7:51

380

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In Egorov's theorem, remove the condition $\mu(E) < \infty$ and let the sequence be convergent in measure. The conclusion holds for subsequence

Published on 02 Apr 2014 - 15:02

581

Views

Bounded continuous functions from a topological space to $\mathbb R$ is complete

Published on 03 Apr 2014 - 2:19

777

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Understanding pointwise convergence vs. uniform convergence example

Published on 03 Apr 2014 - 5:35

296

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proving uniform convergence for a uniformly continuous function

Published on 28 Mar 2026 - 4:52

3.1k

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Uniform convergence and differentiation proof of remark 7.17 in Rudin's mathematical analysis

Published on 09 Apr 2014 - 18:35

92

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Question on Uniform Conergence

Published on 11 Apr 2014 - 20:55

522

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functions of two variables with one variable defined on a compact set uniformly converge to zero

Published on 13 Apr 2014 - 6:22

281

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Real Analysis - Uniform Convergence Problem

Published on 14 Apr 2014 - 6:37

453

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Bound on $f_n'$ implies uniform convergence of $f_n$?

Published on 14 Apr 2014 - 12:27

1.1k

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Mollification of a function continuous on $\mathbb{R}\backslash\{0\}$, need uniform convergence

Published on 27 Mar 2026 - 23:29

47

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Derivative of a power series

Published on 16 Apr 2014 - 18:28

950

Views

Which properties do still hold for the limit of a sequence of functions?

Published on 17 Apr 2014 - 5:33

424

Views

Uniform convergence of functions and Hausdorff convergence of their graphs

Published on 17 Apr 2014 - 14:49

74

Views

Uniform-norm of $f_n(x)=ne^{-nx^2}$

Published on 20 Apr 2014 - 18:17

List Question

Prove uniform convergence using the M-test

In Egorov's theorem, remove the condition $\mu(E) < \infty$ and let the sequence be convergent in measure. The conclusion holds for subsequence

Bounded continuous functions from a topological space to $\mathbb R$ is complete

Understanding pointwise convergence vs. uniform convergence example

proving uniform convergence for a uniformly continuous function

Uniform convergence and differentiation proof of remark 7.17 in Rudin's mathematical analysis

Question on Uniform Conergence

functions of two variables with one variable defined on a compact set uniformly converge to zero

Real Analysis - Uniform Convergence Problem

Bound on $f_n'$ implies uniform convergence of $f_n$?

Mollification of a function continuous on $\mathbb{R}\backslash\{0\}$, need uniform convergence

Derivative of a power series

Which properties do still hold for the limit of a sequence of functions?

Uniform convergence of functions and Hausdorff convergence of their graphs

Uniform-norm of $f_n(x)=ne^{-nx^2}$

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