Question

Maximum vs supremum of a discontinuous function over a closed bounded set

score 362 · Answer 1 · 2021-06-01 13:20:28

362

Views

Maximum vs supremum of a discontinuous function over a closed bounded set

Published on 01 Jun 2021 - 13:20

score 82 · Answer 2 · 2021-06-01 14:32:15

82

Views

Supremum bounds and 2 functions

Published on 01 Jun 2021 - 14:32

score 64 · Answer 3 · 2021-06-02 23:45:00

64

Views

If $M$ is compact, then follows from $\forall x \in M | f(x) < a$ that $\sup_{x\in M} f(x)<a$

Published on 02 Jun 2021 - 23:45

score 151 · Answer 4 · 2021-06-03 06:33:28

151

Views

On compatible and natural norms (Exercise 2.7.12b in Kreyszig's Functional Analysis text)

Published on 03 Jun 2021 - 6:33

score 51 · Answer 5 · 2021-06-03 16:49:10

51

Views

If $f$ is continuous, $\sup_{|\lambda|<\omega} |f(\lambda)|=\infty$ then $\lim_{|\lambda| \rightarrow \omega} |f(\lambda)|=\infty$

Published on 03 Jun 2021 - 16:49

score 32 · Answer 6 · 2026-04-06 23:06:31

32

Views

Let a, b $\in \mathbb R$ such that a < b. Given $n \in \mathbb N$, consider the following partition of the interval [a, b]:

Published on 06 Apr 2026 - 23:06

score 91 · Answer 7 · 2021-06-04 19:39:00

91

Views

Let $f : [a; b] \to \mathbb R$ defined by...

Published on 04 Jun 2021 - 19:39

score 62 · Answer 8 · 2026-03-28 06:14:50

62

Views

What does being smaller that to a join means in a lattice?

Published on 28 Mar 2026 - 6:14

score 124 · Answer 9 · 2026-03-28 06:15:51

124

Views

What does being smaller that to a join means in a distributive lattice?

Published on 28 Mar 2026 - 6:15

score 174 · Answer 10 · 2021-06-06 04:18:39

174

Views

Find $\lim_{n \to \infty} \frac{a_n}{b_n}$

Published on 06 Jun 2021 - 4:18

score 62 · Answer 11 · 2026-04-06 21:31:37

62

Views

Doubt in the linearity of Riemann integral

Published on 06 Apr 2026 - 21:31

score 164 · Answer 12 · 2026-04-06 21:30:07

164

Views

Let $f, g : [a,b] \to \mathbb R$ be two continuous functions such that $g(x) \le f(x)$ for all $x \in [a, b]$

Published on 06 Apr 2026 - 21:30

score 73 · Answer 13 · 2026-03-26 11:18:04

73

Views

Calculate $\sup_{f \in \mathcal{F}} \int_{-1}^1 f dg$ for $g=x^2$.

Published on 26 Mar 2026 - 11:18

score 233 · Answer 14 · 2021-06-11 09:16:56

233

Views

$\inf (E)$ does not exist and $\sup (E) = (0 , 1)$

Published on 11 Jun 2021 - 9:16

score 99 · Answer 15 · 2021-06-11 12:24:24

99

Views

Is $1$ and $-1$ the Supremum and Infimum of the set $A=\left\{\sin(n), n \in \mathbb{N}\right\}$

Published on 11 Jun 2021 - 12:24

List Question

Maximum vs supremum of a discontinuous function over a closed bounded set

Supremum bounds and 2 functions

If $M$ is compact, then follows from $\forall x \in M | f(x) < a$ that $\sup_{x\in M} f(x)<a$

On compatible and natural norms (Exercise 2.7.12b in Kreyszig's Functional Analysis text)

If $f$ is continuous, $\sup_{|\lambda|<\omega} |f(\lambda)|=\infty$ then $\lim_{|\lambda| \rightarrow \omega} |f(\lambda)|=\infty$

Let a, b $\in \mathbb R$ such that a < b. Given $n \in \mathbb N$, consider the following partition of the interval [a, b]:

Let $f : [a; b] \to \mathbb R$ defined by...

What does being smaller that to a join means in a lattice?

What does being smaller that to a join means in a distributive lattice?

Find $\lim_{n \to \infty} \frac{a_n}{b_n}$

Doubt in the linearity of Riemann integral

Let $f, g : [a,b] \to \mathbb R$ be two continuous functions such that $g(x) \le f(x)$ for all $x \in [a, b]$

Calculate $\sup_{f \in \mathcal{F}} \int_{-1}^1 f dg$ for $g=x^2$.

$\inf (E)$ does not exist and $\sup (E) = (0 , 1)$

Is $1$ and $-1$ the Supremum and Infimum of the set $A=\left\{\sin(n), n \in \mathbb{N}\right\}$

Trending Questions

Popular # Hahtags

Popular Questions