IJPAM: Volume 68, No. 2 (2011)

APPROXIMATION SERIES (FUNCTION) USING
POLYNOMIALS FOR REPLACING FUNCTIONS
AND MATHEMATICAL CURVES OR RANDOM CURVES
Sameh Abdelwahab Nasr Eisa
4-th Floor, 3, Shawkat Str.
(In front of the 5-th Egyptian Channel)
Alexandria City, EGYPT
e-mail: sameheisa235@hotmail.com

Abstract. We can use Lagrange interpolation using polynomials for interpolating values over function curves. In this research I deduce a method different from Lagrange method to make a replacement for any interval of any function or any interval from random curves using the linear system for solving equations to generate an equation using polynomials. So we can easily convert any interval to an equation and the integral, differential, values over any point in this interval are equal approximately to the original curve ones. I call it the generated function.

Received: November 20, 2010
Key Words and Phrases: new function, interpolation, approximation series, limited series, series, generated function, curve approximation, generated function


Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 68
Issue: 2