11/13/2008, 03:12 PM
Thats indeed an interesting approach to extend this linear approximation on a unit interval to a polynomial approximation there.
It would think that this approach is different from the approach of approximating the super exponential by polynomials in a point (instead of the unit interval) such that the first some derivations are smooth.
Earlier I started a thread about this topic:
http://math.eretrandre.org/tetrationforu...php?tid=34 however didnt really come to conclusions.
I have also another question: Do your computations lead to the same interval as for the linear approximation, or is it different? And yes I would like to see some more equations
It would think that this approach is different from the approach of approximating the super exponential by polynomials in a point (instead of the unit interval) such that the first some derivations are smooth.
Earlier I started a thread about this topic:
http://math.eretrandre.org/tetrationforu...php?tid=34 however didnt really come to conclusions.
I have also another question: Do your computations lead to the same interval as for the linear approximation, or is it different? And yes I would like to see some more equations
