Lagrange Interpolation Formula

About Lagrange Interpolation Formula

Polynomial interpolation is done with Lagrange polynomials. For a particular set of distinct points and integers

Lagrange’s interpolation is also an nth.

Approximation to f using degree polynomials (x).

Q-1 Find the formula for Lagrange Interpolation below.

Lagrange

Example: Given a sequence of values (-2, 5), (1, 7), (3, 11), find the value of y at x = 0. (7, 34).

Sol: It is given that the known values are,

It is given that the known values are,

x = 0 ; x0 = -2 ; x1 = 1 ; x2 = 3 ; x3 = 7 ; y0 = 5 ; y1 = 7 ; y2 = 11 ; y3 = 34

Using the interpolation formula,

Lagrange