New function approximation tools

[Namir]

Hi All,

After several moths of preparations, recalculations, and editing, I have updated my web page titled "Shammas Polynomials, Pade-Shammas Polynomials, Fourier-Shammas Series" located herre.

The new studies present curve fitting using Pade-Shammas approximation and two types of Fourier-Shammas series. Each study shows how to fit a variety of common functions using these methods. The heart of the algorithms in that web page is a special sequence that is modeled after:

sequence_value(i) < i

This scheme is applied to the Shammas Polynomials, Pade-Shammas polynomials and the Fourier-Shammas series. The approximation involve bother optimization and multiple linearized regression.

Enjoy!