Question

$L^2$ convergence implies expected value of $f(X_n)$ converges to expected value of $f(X)$

score 147 · Answer 1 · 2024-01-16 10:47:18

147

Views

$L^2$ convergence implies expected value of $f(X_n)$ converges to expected value of $f(X)$

Published on 16 Jan 2024 - 10:47

score 47 · Answer 2 · 2024-01-20 10:49:01

47

Views

Whether a function is continuous or not by following conditions.

Published on 20 Jan 2024 - 10:49

score 111 · Answer 3 · 2024-02-09 23:42:03

111

Views

Does there exist topology $T$ on the real numbers such that the class of $T$-$T$-continuous and uniformly continuous functions coincide?

Published on 09 Feb 2024 - 23:42

score 49 · Answer 4 · 2024-02-11 20:01:43

49

Views

About a step in the proof of "A linear transformation between two normed spaces is uniformly continuous if it is bounded."

Published on 11 Feb 2024 - 20:01

score 91 · Answer 5 · 2024-02-13 05:02:49

91

Views

uniform continuity of $f(x) = \frac{x}{1 +x^2}$ on $\mathbb{R}$

Published on 13 Feb 2024 - 5:02

score 38 · Answer 6 · 2026-03-28 23:57:42

38

Views

verify the function is lipschitz or not

Published on 28 Mar 2026 - 23:57

score 110 · Answer 7 · 2024-02-16 18:15:24

110

Views

Is ${\log(x)}^2$ uniformly continuous on $(1, \infty)$?

Published on 16 Feb 2024 - 18:15

score 84 · Answer 8 · 2024-02-24 18:26:56

84

Views

If $f,g$ are uniformly continuous and $f$ is bounded and non-periodic, then $fg$ is not necessarily uniformly continuos

Published on 24 Feb 2024 - 18:26

score 16 · Answer 9 · 2026-03-09 09:07:21

16

Views

Characteristic functions: upper bound on |phi(t)e^(-itx)|

Published on 09 Mar 2026 - 9:07

score 60 · Answer 10 · 2026-02-23 10:20:47

60

Views

What properties of metric spaces are not preserved by uniformly continuous isomorphism?

Published on 23 Feb 2026 - 10:20

score 63 · Answer 11 · 2024-03-02 21:56:40

63

Views

Show that $f$ is uniformly continuous if limit on $f(x)+f'(x)$ at infinity is finite

Published on 02 Mar 2024 - 21:56

score 48 · Answer 12 · 2024-03-17 03:48:26

48

Views

Complex analysis Bruce P. Palka- Ex 5.35

Published on 17 Mar 2024 - 3:48

score 38 · Answer 13 · 2026-03-30 05:30:39

38

Views

Quantifiers uniform continuity

Published on 30 Mar 2026 - 5:30

score 18 · Answer 14 · 2026-03-29 04:33:56

18

Views

Relation between local Lipschitz continuity constant and Lipschitz smoothness constant of a function.

Published on 29 Mar 2026 - 4:33

score 32 · Answer 15 · 2024-03-28 16:30:52

32

Views

Limit of uniformly continuous and continuous functions are equal implies both are uniformly continuous

Published on 28 Mar 2024 - 16:30

List Question

$L^2$ convergence implies expected value of $f(X_n)$ converges to expected value of $f(X)$

Whether a function is continuous or not by following conditions.

Does there exist topology $T$ on the real numbers such that the class of $T$-$T$-continuous and uniformly continuous functions coincide?

About a step in the proof of "A linear transformation between two normed spaces is uniformly continuous if it is bounded."

uniform continuity of $f(x) = \frac{x}{1 +x^2}$ on $\mathbb{R}$

verify the function is lipschitz or not

Is ${\log(x)}^2$ uniformly continuous on $(1, \infty)$?

If $f,g$ are uniformly continuous and $f$ is bounded and non-periodic, then $fg$ is not necessarily uniformly continuos

Characteristic functions: upper bound on |phi(t)e^(-itx)|

What properties of metric spaces are not preserved by uniformly continuous isomorphism?

Show that $f$ is uniformly continuous if limit on $f(x)+f'(x)$ at infinity is finite

Complex analysis Bruce P. Palka- Ex 5.35

Quantifiers uniform continuity

Relation between local Lipschitz continuity constant and Lipschitz smoothness constant of a function.

Limit of uniformly continuous and continuous functions are equal implies both are uniformly continuous

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