Thread Rating:
  • 2 Vote(s) - 4 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Searching for an asymptotic to exp[0.5]
It might be important to rewrite min since min is crucial in fake function theory.
Sheldon is correct ofcourse ; min f(x) = f(w) , f ' (w) = 0.
But the inverse of f ' can be complicated.
So the idea here is to estimate min with other tools.

For instance

G (f) = f/(f+1)

T = growth f

Min f ~ integral_1^oo 1/f dx

Or more advanced

Min f(x)/x^n ~ lim m -> oo q(m)

Where

Q(m) = exp^[m+T]( integral_1^(n m) ln^[m+T](G ( f(x)/x^n )) dx / (n m) ).


There are probably better ones.
But that is the idea.

For proofs that may be important.

Maybe there is An argument principle equivalent ... But im concerned about the nonreal w messing up.


Regards

Tommy1729
Reply


Messages In This Thread
RE: Searching for an asymptotic to exp[0.5] - by tommy1729 - 07/17/2015, 01:45 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Merged fixpoints of 2 iterates ? Asymptotic ? [2019] tommy1729 1 586 09/10/2019, 11:28 AM
Last Post: sheldonison
  Another asymptotic development, similar to 2sinh method JmsNxn 0 2,559 07/05/2011, 06:34 PM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)