Reputation
Top tag
Next privilege 250 Rep.
View close votes
Badges
8
Impact
~6k people reached

  • 0 posts edited
  • 0 helpful flags
  • 28 votes cast
Mar
4
comment Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
Thank you so much for the help, @Math1000.
Mar
4
comment Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
Thank @Math1000 for clarification. BTW, I am curious whether $\{f_n\}$, where $f_n(x)=\sum_{k=1}^nkx^{k-1},0\le x\le b<1$, is uniformly convergent or not.
Mar
3
comment Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
I think it would be $b^n$. @Math1000
Mar
3
comment Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
I think if the domain is slightly modified as $0\le x<b<1$, then $f_n$ would be uniformly convergent.
Mar
3
comment Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
Thank you very much, @Math1000.
Mar
3
comment Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
Thank you very much, @Surb.
Mar
3
accepted Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
Mar
3
comment Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
Thank you very much, @Augustin.
Mar
3
revised Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
edited tags
Mar
3
asked Uniform convergence of $f_n(x)=nx^{n-1}$ on $[0,1)$.
Jul
23
awarded  Popular Question
Jul
2
awarded  Curious
Apr
15
comment Whether convergence in L2 norm implies convergence a.e.?
Thank you very much, @Potato.
Apr
15
accepted Whether convergence in L2 norm implies convergence a.e.?
Apr
15
comment Whether convergence in L2 norm implies convergence a.e.?
Thank you very much, @julien. I am not sure if I should delete the post.
Apr
15
asked Whether convergence in L2 norm implies convergence a.e.?
Apr
3
accepted How to determine the convergence of this improper integral?
Apr
3
comment How to determine the convergence of this improper integral?
I like your answer also. It looks like a textbook.
Apr
3
comment How to determine the convergence of this improper integral?
Great, @Caran. Thank you so much!
Apr
3
comment How to determine the convergence of this improper integral?
I plot it. It has periodic downward peaks.