Question

Prob. 23, Chap. 4, in Baby Rudin: Every convex function is continuous and every increasing convex function of a convex function is convex

score 2.9k · Answer 1 · 2017-04-05 17:14:16

2.9k

Views

Prob. 23, Chap. 4, in Baby Rudin: Every convex function is continuous and every increasing convex function of a convex function is convex

Published on 05 Apr 2017 - 17:14

score 902 · Answer 2 · 2017-04-06 08:01:18

902

Views

Show that $f(x)=\frac{1}{x^{2}}$ is uniformly continuous on $[1,\infty $)

Published on 06 Apr 2017 - 8:01

score 181 · Answer 3 · 2017-04-07 15:36:52

181

Views

Prove that $f$ is uniformly continuous, when $f''$ is bounded.

Published on 07 Apr 2017 - 15:36

score 48 · Answer 4 · 2017-04-07 21:54:54

48

Views

continuous application integral is continuous

Published on 07 Apr 2017 - 21:54

score 238 · Answer 5 · 2026-02-23 10:15:36

238

Views

Uniformly continuous function on product space and partitioning

Published on 23 Feb 2026 - 10:15

score 283 · Answer 6 · 2017-04-09 02:09:54

283

Views

Prove that $f(x)=\sin x$ uniformly continuous on$(-\infty,\infty )$

Published on 09 Apr 2017 - 2:09

score 82 · Answer 7 · 2026-03-29 03:36:53

82

Views

Uniform continuity of characteristic function of a tight family of measure

Published on 29 Mar 2026 - 3:36

score 401 · Answer 8 · 2023-02-10 13:49:27

401

Views

Suppose $f:\mathbb{R} \to \mathbb{R}$ is uniformly continuous. Show that $f(x+1)-f(x)$ is bounded

Published on 10 Feb 2023 - 13:49

score 69 · Answer 9 · 2026-02-23 06:41:04

69

Views

Justify the interchange of limits for $\displaystyle\lim_{n \to \infty} \lim_{m \to \infty} (n+1) \int_0^1 x^nP_m(x)dx$ where $P_m(x)$ is a polynomial

Published on 23 Feb 2026 - 6:41

score 63 · Answer 10 · 2023-02-27 22:18:20

63

Views

"Algorithmically", what does uniform continuity means?

Published on 27 Feb 2023 - 22:18

score 57 · Answer 11 · 2023-03-07 16:35:17

57

Views

Counterexample to uniformly continuous extension theorem when A is not dense in X

Published on 07 Mar 2023 - 16:35

score 187 · Answer 12 · 2023-03-08 09:46:34

187

Views

Asking for clarification of a Wikipedia article on uniform continuity

Published on 08 Mar 2023 - 9:46

score 35 · Answer 13 · 2026-02-23 13:44:29

35

Views

Uniform convergence, Pointwise Equicontinuity and Uniform Equicontinuity for functon.

Published on 23 Feb 2026 - 13:44

score 66 · Answer 14 · 2023-03-28 09:24:11

66

Views

The map $f*g$ is uniformly continuous

Published on 28 Mar 2023 - 9:24

score 42 · Answer 15 · 2023-04-05 13:58:33

42

Views

verification of proof for uniform continuity for a function $f: \mathbb{R}^2 \rightarrow \mathbb{R}$, defined by $f(x,y) = 2x$ in a metric space

Published on 05 Apr 2023 - 13:58

List Question

Prob. 23, Chap. 4, in Baby Rudin: Every convex function is continuous and every increasing convex function of a convex function is convex

Show that $f(x)=\frac{1}{x^{2}}$ is uniformly continuous on $[1,\infty $)

Prove that $f$ is uniformly continuous, when $f''$ is bounded.

continuous application integral is continuous

Uniformly continuous function on product space and partitioning

Prove that $f(x)=\sin x$ uniformly continuous on$(-\infty,\infty )$

Uniform continuity of characteristic function of a tight family of measure

Suppose $f:\mathbb{R} \to \mathbb{R}$ is uniformly continuous. Show that $f(x+1)-f(x)$ is bounded

Justify the interchange of limits for $\displaystyle\lim_{n \to \infty} \lim_{m \to \infty} (n+1) \int_0^1 x^nP_m(x)dx$ where $P_m(x)$ is a polynomial

"Algorithmically", what does uniform continuity means?

Counterexample to uniformly continuous extension theorem when A is not dense in X

Asking for clarification of a Wikipedia article on uniform continuity

Uniform convergence, Pointwise Equicontinuity and Uniform Equicontinuity for functon.

The map $f*g$ is uniformly continuous

verification of proof for uniform continuity for a function $f: \mathbb{R}^2 \rightarrow \mathbb{R}$, defined by $f(x,y) = 2x$ in a metric space

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