Question

Mean value theorem to show uniform convergence

score 33 · Answer 1 · 2026-02-23 14:54:08

33

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Mean value theorem to show uniform convergence

Published on 23 Feb 2026 - 14:54

score 78 · Answer 2 · 2023-04-28 04:40:17

78

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name of uniformly convergence $f_n \to f$ when $|f_{n}(x) - f(x)|$ decreases monotonically

Published on 28 Apr 2023 - 4:40

score 42 · Answer 3 · 2026-04-08 11:33:08

42

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When does $|\hat{f}(n)|$ decrease to $0$ monotonically; while $\hat{f}(n)$s are Fourier coefficients of $f$?

Published on 08 Apr 2026 - 11:33

score 34 · Answer 4 · 2026-02-24 15:25:02

34

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Pointwise and uniform convergence for particularly well-behaved functions

Published on 24 Feb 2026 - 15:25

score 121 · Answer 5 · 2023-04-30 17:02:07

121

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Uniform convergence of this particular limit functional

Published on 30 Apr 2023 - 17:02

score 39 · Answer 6 · 2026-03-28 22:30:57

39

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Extended harmonic numbers definition converges uniformly

Published on 28 Mar 2026 - 22:30

score 52 · Answer 7 · 2023-05-02 18:29:13

52

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Uniform convergence of polynomials onto a holomorphic function

Published on 02 May 2023 - 18:29

score 183 · Answer 8 · 2023-05-03 11:29:36

183

Views

Uniform convergence of a series $\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{\sqrt{n}}\sin(\frac{x}{n}).$

Published on 03 May 2023 - 11:29

score 39 · Answer 9 · 2023-05-08 18:54:28

39

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Compact convergence and partial differentiability

Published on 08 May 2023 - 18:54

score 75 · Answer 10 · 2026-03-27 07:12:17

75

Views

Uniformly converging geodesic sequence yields a geodesic

Published on 27 Mar 2026 - 7:12

score 101 · Answer 11 · 2026-02-23 13:44:59

101

Views

A uniformly bounded sequence of analytic functions converging on the boundary of the domain?

Published on 23 Feb 2026 - 13:44

score 101 · Answer 12 · 2023-05-13 13:08:42

101

Views

Interchanging integral and sum for $\sum_{n=1}^{\infty} \int_0^{\infty} \frac{\sin(nx)}{n!x}dx$

Published on 13 May 2023 - 13:08

score 150 · Answer 13 · 2023-05-17 03:26:43

150

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If $\lim_{n\to\infty} f_n(x_n)=f(x)$ then $f_n$ converges uniformly to $f$ in a compact set $X$

Published on 17 May 2023 - 3:26

score 26 · Answer 14 · 2026-03-27 03:41:10

26

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Proving that for $u \in BV([a,b])$, $\frac{d}{dx} (\text{Var}_{[a,x]} u) = |u'(x)|$.

Published on 27 Mar 2026 - 3:41

score 123 · Answer 15 · 2023-05-18 21:35:34

123

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Check for uniform convergence of the integral $\int\limits_{0}^{1}\frac{\arctan ax}{(1-x^2)^a}dx$

Published on 18 May 2023 - 21:35

List Question

Mean value theorem to show uniform convergence

name of uniformly convergence $f_n \to f$ when $|f_{n}(x) - f(x)|$ decreases monotonically

When does $|\hat{f}(n)|$ decrease to $0$ monotonically; while $\hat{f}(n)$s are Fourier coefficients of $f$?

Pointwise and uniform convergence for particularly well-behaved functions

Uniform convergence of this particular limit functional

Extended harmonic numbers definition converges uniformly

Uniform convergence of polynomials onto a holomorphic function

Uniform convergence of a series $\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{\sqrt{n}}\sin(\frac{x}{n}).$

Compact convergence and partial differentiability

Uniformly converging geodesic sequence yields a geodesic

A uniformly bounded sequence of analytic functions converging on the boundary of the domain?

Interchanging integral and sum for $\sum_{n=1}^{\infty} \int_0^{\infty} \frac{\sin(nx)}{n!x}dx$

If $\lim_{n\to\infty} f_n(x_n)=f(x)$ then $f_n$ converges uniformly to $f$ in a compact set $X$

Proving that for $u \in BV([a,b])$, $\frac{d}{dx} (\text{Var}_{[a,x]} u) = |u'(x)|$.

Check for uniform convergence of the integral $\int\limits_{0}^{1}\frac{\arctan ax}{(1-x^2)^a}dx$

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