Question

What is the newton difference interpolation formula on?

Answer 1

Answer-

Interpolation is an estimation of a value within two known values in a sequence of values.

Newton’s divided difference interpolation formula is a interpolation technique used when the interval difference is not same for all sequence of values.

Suppose f(x0), f(x1), f(x2)………f(xn) be the (n+1) values of the function y=f(x) corresponding to the arguments x=x0, x1, x2…xn, where interval differences are not same

Formula -

f(x)= f(x0) + (x-x0) f [x0,x1] + (x-x0) (x-x1) f [x0,x1,x2] +.................+ (x-x0) (x-x1) .....(x-x -1) f[x0,x1,x2........x ]

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