Question

Uniform convergence,continuous functions with a function inside an integral

score 16 · Answer 1 · 2023-07-19 06:13:37

16

Views

Uniform convergence,continuous functions with a function inside an integral

Published on 19 Jul 2023 - 6:13

score 103 · Answer 2 · 2023-07-29 16:56:56

103

Views

Prove that the Bernstein polynomials converge uniformly

Published on 29 Jul 2023 - 16:56

score 60 · Answer 3 · 2023-08-06 20:36:15

60

Views

Continuous maps sequence properties

Published on 06 Aug 2023 - 20:36

score 63 · Answer 4 · 2023-08-13 14:20:35

63

Views

Prove $f(x)=\int_{-1}^{x}\sin{(xt)e^{-t^2}}dt$ is uniformly continuous on $I=[0,\infty)$ (Proof Verification)

Published on 13 Aug 2023 - 14:20

score 37 · Answer 5 · 2023-08-18 12:42:09

37

Views

How to prove a uniformly continuous function is bounded when its definite integral is bounded?

Published on 18 Aug 2023 - 12:42

score 116 · Answer 6 · 2023-08-19 07:56:08

116

Views

Prove the function $f(x)=x+\frac{\sin x}{x}$ is uniformly continuous

Published on 19 Aug 2023 - 7:56

score 37 · Answer 7 · 2023-08-19 09:32:01

37

Views

A continuous functions $f: [a,\infty] \to \mathbb R$ is uniformly continuous if $\lim_{x \to \infty} f(x) = L$"?

Published on 19 Aug 2023 - 9:32

score 61 · Answer 8 · 2023-08-23 15:10:00

61

Views

Proving every continuous function on closed interval is uniformly continuous by smallest delta

Published on 23 Aug 2023 - 15:10

score 27 · Answer 9 · 2023-08-31 16:46:05

27

Views

Uniform continuity of continuous $f(x)$ for which $|f(x)| < 1/|x|$ for all $|x|>1$.

Published on 31 Aug 2023 - 16:46

score 71 · Answer 10 · 2023-09-03 19:08:35

71

Views

Continuous at every point but not uniformly continuous?

Published on 03 Sep 2023 - 19:08

score 39 · Answer 11 · 2026-03-27 17:53:10

39

Views

Prove that the limit of the sequences corresponding to the image of two sequences converging to the same point is the same.

Published on 27 Mar 2026 - 17:53

score 51 · Answer 12 · 2026-03-25 20:51:19

51

Views

Uniform Continuity is correct?

Published on 25 Mar 2026 - 20:51

score 45 · Answer 13 · 2026-02-25 04:22:51

45

Views

A doubt on uniform limit of a sequence of uniformly continuous functions

Published on 25 Feb 2026 - 4:22

score 60 · Answer 14 · 2023-09-20 10:15:31

60

Views

A cool function that connects the derivative to the modulus of continuity

Published on 20 Sep 2023 - 10:15

score 64 · Answer 15 · 2023-09-25 09:18:10

64

Views

Doubt in proving the uniform continuity of function

Published on 25 Sep 2023 - 9:18

List Question

Uniform convergence,continuous functions with a function inside an integral

Prove that the Bernstein polynomials converge uniformly

Continuous maps sequence properties

Prove $f(x)=\int_{-1}^{x}\sin{(xt)e^{-t^2}}dt$ is uniformly continuous on $I=[0,\infty)$ (Proof Verification)

How to prove a uniformly continuous function is bounded when its definite integral is bounded?

Prove the function $f(x)=x+\frac{\sin x}{x}$ is uniformly continuous

A continuous functions $f: [a,\infty] \to \mathbb R$ is uniformly continuous if $\lim_{x \to \infty} f(x) = L$"?

Proving every continuous function on closed interval is uniformly continuous by smallest delta

Uniform continuity of continuous $f(x)$ for which $|f(x)| < 1/|x|$ for all $|x|>1$.

Continuous at every point but not uniformly continuous?

Prove that the limit of the sequences corresponding to the image of two sequences converging to the same point is the same.

Uniform Continuity is correct?

A doubt on uniform limit of a sequence of uniformly continuous functions

A cool function that connects the derivative to the modulus of continuity

Doubt in proving the uniform continuity of function

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