Newton-Gregory forward polynomial

When the data points are available at equal intervals of the independent variable, we can use the Newton-Gregory forward polynomial. 

THIS PROGRAM PERFORMS THE NEWTON-GREGORY FORWARD INTERPOLATION OF POLYNOMIALS... 

This method is accomplished by first replacing the function y = f x) with a polynomial approximation, such as the Gregory-Newton forward interpolation formula [Eq. (3.122)], In practice, the interval [x, x ] is being divided into several segments, each of width h, and the Gregory-Newton forward interpolation formula becomes note that =x + h) ... 

Gregory-Newton forward interpolation method. Lagrange polynomial interpolation method. Cubic splines interpolation method. 

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