Question

Find a function $f\in C^2(\mathbb{R})$ such that $|f^{(j)}(s)| \leq k(1+|s|)^{p-j}$ for $j=1,2$

score 35 · Answer 1 · 2026-04-14 19:13:30

35

Views

Find a function $f\in C^2(\mathbb{R})$ such that $|f^{(j)}(s)| \leq k(1+|s|)^{p-j}$ for $j=1,2$

Published on 14 Apr 2026 - 19:13

score 126 · Answer 2 · 2026-04-16 02:50:58

126

Views

Is there always a Riemann integrable $g$ for a Lebesgue integrable $f$ so that $f = g$ a.e.

Published on 16 Apr 2026 - 2:50

score 286 · Answer 3 · 2026-04-14 10:43:11

286

Views

Example of function satisfying the growth condition: $\phi\big(\theta \frac{s}{t}\big) \leq \frac{\phi(s)}{\phi(t)}$

Published on 14 Apr 2026 - 10:43

score 71 · Answer 4 · 2026-04-15 00:28:45

71

Views

On Sierpinski's example of a set intersects every horizontal or vertical line in exactly one point

Published on 15 Apr 2026 - 0:28

score 68 · Answer 5 · 2026-04-10 19:43:27

68

Views

How to determine this statement? (Matrix Algebra)

Published on 10 Apr 2026 - 19:43

score 37 · Answer 6 · 2026-04-11 23:10:56

37

Views

When does a pseudo-Cauchy sequence converge?

Published on 11 Apr 2026 - 23:10

score 99 · Answer 7 · 2026-04-14 07:00:40

99

Views

counter example needed: existence of an isomorphism which maps a "diagonal" (non product) subgroup of a finite abelian group to a product subgroup.

Published on 14 Apr 2026 - 7:00

score 59 · Answer 8 · 2026-05-05 14:17:33

59

Views

Uniform convergence on open interval

Published on 05 May 2026 - 14:17

score 288 · Answer 9 · 2026-04-13 13:05:35

288

Views

A normal space that is not completely normal and has countable pseudo-character

Published on 13 Apr 2026 - 13:05

score 178 · Answer 10 · 2026-04-11 05:49:31

178

Views

Understanding the indicator function counterexample to Egorov's Theorem

Published on 11 Apr 2026 - 5:49

score 51 · Answer 11 · 2026-05-05 14:19:33

51

Views

Comparing modes of convergence for $(\mathbb{N}, 2^{\mathbb{N}}, \mu ({n})=2^{−n})$

Published on 05 May 2026 - 14:19

score 418 · Answer 12 · 2026-04-13 19:19:35

418

Views

Cauchy product of an absolutely convergent series and a conditionally convergent series

Published on 13 Apr 2026 - 19:19

score 74 · Answer 13 · 2026-04-16 16:47:01

74

Views

If $ (a_n) $ is a sequence s.t. for every integer $ p > 1 $ . $ ( a_{pk} )_{k=1}^{\infty} \rightarrow L $ , then $ (a_n) \rightarrow L $

Published on 16 Apr 2026 - 16:47

score 82 · Answer 14 · 2026-04-10 07:24:16

82

Views

A non-flat functor that reflects exact sequences

Published on 10 Apr 2026 - 7:24

score 37 · Answer 15 · 2026-04-12 02:54:05

37

Views

Is a bump function which is piecewise affine after the "jump" constant close to the jump?

Published on 12 Apr 2026 - 2:54

List Question

Find a function $f\in C^2(\mathbb{R})$ such that $|f^{(j)}(s)| \leq k(1+|s|)^{p-j}$ for $j=1,2$

Is there always a Riemann integrable $g$ for a Lebesgue integrable $f$ so that $f = g$ a.e.

Example of function satisfying the growth condition: $\phi\big(\theta \frac{s}{t}\big) \leq \frac{\phi(s)}{\phi(t)}$

On Sierpinski's example of a set intersects every horizontal or vertical line in exactly one point

How to determine this statement? (Matrix Algebra)

When does a pseudo-Cauchy sequence converge?

counter example needed: existence of an isomorphism which maps a "diagonal" (non product) subgroup of a finite abelian group to a product subgroup.

Uniform convergence on open interval

A normal space that is not completely normal and has countable pseudo-character

Understanding the indicator function counterexample to Egorov's Theorem

Comparing modes of convergence for $(\mathbb{N}, 2^{\mathbb{N}}, \mu ({n})=2^{−n})$

Cauchy product of an absolutely convergent series and a conditionally convergent series

If $ (a_n) $ is a sequence s.t. for every integer $ p > 1 $ . $ ( a_{pk} )_{k=1}^{\infty} \rightarrow L $ , then $ (a_n) \rightarrow L $

A non-flat functor that reflects exact sequences

Is a bump function which is piecewise affine after the "jump" constant close to the jump?

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