Question

Show that the following function defined by an integral is uniformly continuous

score 72 · Answer 1 · 2020-12-10 13:02:39

72

Views

Show that the following function defined by an integral is uniformly continuous

Published on 10 Dec 2020 - 13:02

score 794 · Answer 2 · 2020-12-11 15:21:34

794

Views

f is uniformly continuous if for all $x$ and $y ∈ \mathbb{R}$, $|f(x) − f(y)| ≤ |x−y|^\frac{1}{2}$.

Published on 11 Dec 2020 - 15:21

score 79 · Answer 3 · 2020-12-15 01:45:12

79

Views

Examples of Not Uniformly Continuous Function

Published on 15 Dec 2020 - 1:45

score 207 · Answer 4 · 2026-02-25 15:04:06

207

Views

show that $f\in C^{1}$ if $f_{n}$ is a sequence of twice differentiable functions

Published on 25 Feb 2026 - 15:04

score 673 · Answer 5 · 2020-12-18 00:21:12

673

Views

Prove functions in L1 space are Uniformly Continuous

Published on 18 Dec 2020 - 0:21

score 178 · Answer 6 · 2020-12-18 19:44:35

178

Views

How to prove uniform continuity of $e^\frac{1}{z^2}$ on $0\lt\vert z\vert\leq R$, $\vert\arg(z)\vert\leq\pi/6$?

Published on 18 Dec 2020 - 19:44

score 195 · Answer 7 · 2020-12-26 17:13:15

195

Views

How do I prove that a function preserving Cauchy sequences is uniformly continuous?

Published on 26 Dec 2020 - 17:13

score 256 · Answer 8 · 2020-12-29 21:59:26

256

Views

If $f$ is continuous then $f$ is uniformly continuous iff $|f|$ is uniformly continuous

Published on 29 Dec 2020 - 21:59

score 891 · Answer 9 · 2020-12-30 15:24:32

891

Views

Prove $f(x)=x^3$ is not uniformly continuous in $\mathbb{R}$

Published on 30 Dec 2020 - 15:24

score 32 · Answer 10 · 2020-12-31 22:54:37

32

Views

What is the definition of asymptotically flat convergence?

Published on 31 Dec 2020 - 22:54

score 117 · Answer 11 · 2021-01-01 19:07:57

117

Views

Uniform continuity regarding union of open sets

Published on 01 Jan 2021 - 19:07

score 39 · Answer 12 · 2021-01-01 21:05:28

39

Views

Trying to prove uniform continuity for a function

Published on 01 Jan 2021 - 21:05

score 82 · Answer 13 · 2021-01-02 02:30:40

82

Views

Arbitrarily close uniformly continuous functions

Published on 02 Jan 2021 - 2:30

score 90 · Answer 14 · 2021-01-02 22:59:47

90

Views

Solution check: Uniform continuity

Published on 02 Jan 2021 - 22:59

score 93 · Answer 15 · 2021-01-03 05:12:38

93

Views

Prove that $f(x) = \frac{1}{x}$ is not uniformly continuous on $(0,1)$

Published on 03 Jan 2021 - 5:12

List Question

Show that the following function defined by an integral is uniformly continuous

f is uniformly continuous if for all $x$ and $y ∈ \mathbb{R}$, $|f(x) − f(y)| ≤ |x−y|^\frac{1}{2}$.

Examples of Not Uniformly Continuous Function

show that $f\in C^{1}$ if $f_{n}$ is a sequence of twice differentiable functions

Prove functions in L1 space are Uniformly Continuous

How to prove uniform continuity of $e^\frac{1}{z^2}$ on $0\lt\vert z\vert\leq R$, $\vert\arg(z)\vert\leq\pi/6$?

How do I prove that a function preserving Cauchy sequences is uniformly continuous?

If $f$ is continuous then $f$ is uniformly continuous iff $|f|$ is uniformly continuous

Prove $f(x)=x^3$ is not uniformly continuous in $\mathbb{R}$

What is the definition of asymptotically flat convergence?

Uniform continuity regarding union of open sets

Trying to prove uniform continuity for a function

Arbitrarily close uniformly continuous functions

Solution check: Uniform continuity

Prove that $f(x) = \frac{1}{x}$ is not uniformly continuous on $(0,1)$

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