Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
approximation help
#1
I have found an approximation for the iterated product:

when x is non-integer value.

this product is important because it is resulted in the first derive of

Now! after some logical sequences I made an approximation as below:

Let x = u + v , while u is integer and 0 < v < 1

then the approximation for is



I can varify it is exactly correct for min v and max v values.

but I can't make sure for v , if v for example equal 0.5 because I don't have Measuring tools or software to compare the variances

I need help.
Reply


Messages In This Thread
approximation help - by Nasser - 12/26/2012, 09:22 AM
RE: approximation help - by tommy1729 - 12/29/2012, 04:06 PM
RE: approximation help - by tommy1729 - 12/29/2012, 06:13 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Approximation to half-iterate by high indexed natural iterates (base on ShlThrb) Gottfried 1 318 09/09/2019, 10:50 PM
Last Post: tommy1729
  The tangent approximation sheldonison 0 1,183 02/11/2017, 11:36 PM
Last Post: sheldonison
  RE: [MO]: Pade-approximation method for iteration of exp(x) Gottfried 2 5,693 02/14/2011, 02:35 PM
Last Post: Gottfried
  Approximation method for super square root Ztolk 2 8,617 03/23/2010, 02:33 PM
Last Post: Ztolk
  Jay Fox's Linear approximation for tetration and slog jaydfox 10 13,074 11/14/2008, 06:47 PM
Last Post: bo198214



Users browsing this thread: 1 Guest(s)