Question

the Lagrange polynomial for interpolation can be used even if​

Answer 1

Answer:

any one is not giving the correct answer

Answer 2

Answer:

The Lagrange interpolation can be used even if​ the arguments are not equally spaced.

Step-by-step explanation:

Lagrange Interpolation is a method of finding a polynomial called Lagrange polynomial passing through a set of points and takes on certain values at arbitrary points.

• Lagrange Interpolation formula can be used to calculate the value of the independent variable x that corresponds to a given function value.
• Lagrange's interpolation is an Nth degree polynomial approximation to f(x).
• The N-th order formula can be written as:

        $f(x) = f_0\delta_0(x) + f_1\delta_1(x) + ... + f_N \delta_ N (x)$

        where $\delta_ i (x)=\Big \Pi\limits^N_{j=0,j\ne i} \dfrac{ (x-x_j)}{(x_i-x_j)}$

• The Nth degree polynomial pass through (N+1) points.

• Lagrange interpolation can be applied to both equally and unequally spaced values of x.

So, the Lagrange interpolation can be used even if​ the arguments are not equally spaced.