(05/16/2017, 03:34 PM)sheldonison Wrote:(05/16/2017, 04:09 AM)JmsNxn Wrote: ... It easily follows from this thatGood luck with your paper. We need more rigorous iterated exponentiation papers.is fully monotone, it uniformly converges to the inverse Schroder function, and therefore the inverse Schroder function is a fully monotone function...
I just wondered what your approach to show the sequence "uniformly converges". Is there an easy theorem, or did you want to go with a more complicated approach something like my lemma5? Just curious. Also, you probably meantwhere b is the tetration base.
Yeah, I meantt
Essentially if
for
We also get that, if
for